64762431552 has 672 divisors, whose sum is σ = 240817554432. Its totient is φ = 16800638976.

The previous prime is 64762431527. The next prime is 64762431599. The reversal of 64762431552 is 25513426746.

64762431552 is a `hidden beast` number, since 6 + 4 + 7 + 62 + 4 + 31 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 64762431498 and 64762431507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94820203 + ... + 94820885.

It is an arithmetic number, because the mean of its divisors is an integer number (358359456).

Almost surely, 2^64762431552 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 64762431552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120408777216).

64762431552 is an abundant number, since it is smaller than the sum of its proper divisors (176055122880).

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

64762431552 is a wasteful number, since it uses less digits than its factorization.

64762431552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 775 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 64762431552 in words is "sixty-four billion, seven hundred sixty-two million, four hundred thirty-one thousand, five hundred fifty-two".