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64904232960 = 2193357131
BaseRepresentation
bin111100011100100110…
…000000000000000000
320012112021202122122000
4330130212000000000
52030410440423320
645452214544000
74455246606660
oct743446000000
9205467678560
1064904232960
1125586824956
12106b4368000
1361747c7b98
1431d9d461a0
151a4d08dc90
hexf1c980000

64904232960 has 640 divisors, whose sum is σ = 265750848000. Its totient is φ = 14722007040.

The previous prime is 64904232949. The next prime is 64904232961. The reversal of 64904232960 is 6923240946.

64904232960 is a `hidden beast` number, since 6 + 490 + 42 + 32 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×649042329602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64904232961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495452095 + ... + 495452225.

It is an arithmetic number, because the mean of its divisors is an integer number (415235700).

Almost surely, 264904232960 is an apocalyptic number.

64904232960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64904232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132875424000).

64904232960 is an abundant number, since it is smaller than the sum of its proper divisors (200846615040).

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

64904232960 is an frugal number, since it uses more digits than its factorization.

64904232960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 64904232960 in words is "sixty-four billion, nine hundred four million, two hundred thirty-two thousand, nine hundred sixty".