40474620677664 has 72 divisors (see below), whose sum is σ = 115100322285312. Its totient is φ = 13491467583360.

The previous prime is 40474620677651. The next prime is 40474620677681. The reversal of 40474620677664 is 46677602647404.

40474620677664 is a `hidden beast` number, since 4 + 0 + 47 + 462 + 0 + 6 + 7 + 76 + 64 = 666.

40474620677664 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 (72).

It is a super-3 number, since 3×40474620677664³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94037029 + ... + 94466459.

It is an arithmetic number, because the mean of its divisors is an integer number (1598615587296).

Almost surely, 2^{40474620677664} is an apocalyptic number.

It is an amenable number.

40474620677664 is an abundant number, since it is smaller than the sum of its proper divisors (74625701607648).

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

40474620677664 is a wasteful number, since it uses less digits than its factorization.

40474620677664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756710 (or 756699 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 63.

The spelling of 40474620677664 in words is "forty trillion, four hundred seventy-four billion, six hundred twenty million, six hundred seventy-seven thousand, six hundred sixty-four".