64429516760400 has 360 divisors, whose sum is σ = 251782746658560. Its totient is φ = 15115428864000.

The previous prime is 64429516760393. The next prime is 64429516760489. The reversal of 64429516760400 is 406761592446.

64429516760400 is a `hidden beast` number, since 6 + 4 + 4 + 29 + 5 + 1 + 6 + 7 + 604 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×64429516760400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25014465 + ... + 27469664.

It is an arithmetic number, because the mean of its divisors is an integer number (699396518496).

Almost surely, 2^{64429516760400} is an apocalyptic number.

64429516760400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64429516760400 is an abundant number, since it is smaller than the sum of its proper divisors (187353229898160).

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

64429516760400 is a wasteful number, since it uses less digits than its factorization.

64429516760400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52484195 (or 52484181 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 64429516760400 in words is "sixty-four trillion, four hundred twenty-nine billion, five hundred sixteen million, seven hundred sixty thousand, four hundred".