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64460040660 = 22325358111337
BaseRepresentation
bin111100000010000111…
…100010100111010100
320011101022221100100100
4330002013202213110
52024003232300120
645340150214100
74441244206461
oct740207424724
9204338840310
1064460040660
1125379015684
12105ab654330
1361037827c2
143196d5a668
151a2409b490
hexf021e29d4

64460040660 has 36 divisors (see below), whose sum is σ = 195528790548. Its totient is φ = 17189344128.

The previous prime is 64460040647. The next prime is 64460040679. The reversal of 64460040660 is 6604006446.

It is a happy number.

64460040660 is a `hidden beast` number, since 6 + 4 + 4 + 600 + 40 + 6 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38763309456 + 25696731204 = 196884^2 + 160302^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179055489 + ... + 179055848.

It is an arithmetic number, because the mean of its divisors is an integer number (5431355293).

Almost surely, 264460040660 is an apocalyptic number.

64460040660 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64460040660 is an abundant number, since it is smaller than the sum of its proper divisors (131068749888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64460040660 is a wasteful number, since it uses less digits than its factorization.

64460040660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358111352 (or 358111347 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 64460040660 in words is "sixty-four billion, four hundred sixty million, forty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 358111337 716222674 1074334011 1432445348 1790556685 2148668022 3223002033 3581113370 4297336044 5371670055 6446004066 7162226740 10743340110 12892008132 16115010165 21486680220 32230020330 64460040660