39642964704 has 432 divisors, whose sum is σ = 137329894800. Its totient is φ = 11093193216.

The previous prime is 39642964693. The next prime is 39642964721. The reversal of 39642964704 is 40746924693.

39642964704 is a `hidden beast` number, since 3 + 96 + 429 + 64 + 70 + 4 = 666.

39642964704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

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

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, 147371482 + ... + 147371750.

It is an arithmetic number, because the mean of its divisors is an integer number (317893275).

Almost surely, 2^39642964704 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 39642964704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68664947400).

39642964704 is an abundant number, since it is smaller than the sum of its proper divisors (97686930096).

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

39642964704 is a wasteful number, since it uses less digits than its factorization.

39642964704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 39642964704 in words is "thirty-nine billion, six hundred forty-two million, nine hundred sixty-four thousand, seven hundred four".