64032278953104 has 800 divisors, whose sum is σ = 240093068869632. Its totient is φ = 15988544640000.

The previous prime is 64032278953087. The next prime is 64032278953109. The reversal of 64032278953104 is 40135987223046.

64032278953104 is a `hidden beast` number, since 6 + 4 + 0 + 3 + 2 + 27 + 89 + 531 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (64032278953109) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 467057814 + ... + 467194890.

It is a 1-persistent number, because it is pandigital, but 2⋅64032278953104 = 128064557906208 is not.

Almost surely, 2^{64032278953104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64032278953104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120046534434816).

64032278953104 is an abundant number, since it is smaller than the sum of its proper divisors (176060789916528).

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

64032278953104 is a wasteful number, since it uses less digits than its factorization.

64032278953104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137297 (or 137282 counting only the distinct ones).

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

The spelling of 64032278953104 in words is "sixty-four trillion, thirty-two billion, two hundred seventy-eight million, nine hundred fifty-three thousand, one hundred four".