42016564864 has 32 divisors (see below), whose sum is σ = 87344223840. Its totient is φ = 20094877440.

The previous prime is 42016564819. The next prime is 42016564867. The reversal of 42016564864 is 46846561024.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (42016564867) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7133022 + ... + 7138909.

It is an arithmetic number, because the mean of its divisors is an integer number (2729506995).

Almost surely, 2^42016564864 is an apocalyptic number.

It is an amenable number.

42016564864 is an abundant number, since it is smaller than the sum of its proper divisors (45327658976).

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

42016564864 is a wasteful number, since it uses less digits than its factorization.

42016564864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14271968 (or 14271956 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 42016564864 in words is "forty-two billion, sixteen million, five hundred sixty-four thousand, eight hundred sixty-four".