42664077046624 has 96 divisors (see below), whose sum is σ = 96455996985600. Its totient is φ = 18371610339840.

The previous prime is 42664077046603. The next prime is 42664077046667.

42664077046624 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397527882 + ... + 397635190.

It is an arithmetic number, because the mean of its divisors is an integer number (1004749968600).

Almost surely, 2^{42664077046624} is an apocalyptic number.

42664077046624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42664077046624 is an abundant number, since it is smaller than the sum of its proper divisors (53791919938976).

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

42664077046624 is a wasteful number, since it uses less digits than its factorization.

42664077046624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166796 (or 166788 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 58.

The spelling of 42664077046624 in words is "forty-two trillion, six hundred sixty-four billion, seventy-seven million, forty-six thousand, six hundred twenty-four".