64029910460400 has 1080 divisors, whose sum is σ = 244096583398640. Its totient is φ = 15938355363840.

The previous prime is 64029910460377. The next prime is 64029910460401. The reversal of 64029910460400 is 406401992046.

64029910460400 is a `hidden beast` number, since 6 + 4 + 0 + 29 + 9 + 10 + 4 + 604 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 (64029910460401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 58581802254 + ... + 58581803346.

Almost surely, 2^{64029910460400} is an apocalyptic number.

64029910460400 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 64029910460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122048291699320).

64029910460400 is an abundant number, since it is smaller than the sum of its proper divisors (180066672938240).

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

64029910460400 is a wasteful number, since it uses less digits than its factorization.

64029910460400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 64029910460400 in words is "sixty-four trillion, twenty-nine billion, nine hundred ten million, four hundred sixty thousand, four hundred".