42635622653624 has 64 divisors (see below), whose sum is σ = 107334434672640. Its totient is φ = 15333490661760.

The previous prime is 42635622653593. The next prime is 42635622653641.

42635622653624 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 42635622653624.

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, 2662056344 + ... + 2662072359.

It is an arithmetic number, because the mean of its divisors is an integer number (1677100541760).

Almost surely, 2^{42635622653624} is an apocalyptic number.

42635622653624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42635622653624 is an abundant number, since it is smaller than the sum of its proper divisors (64698812019016).

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

42635622653624 is a wasteful number, since it uses less digits than its factorization.

42635622653624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5324128740 (or 5324128736 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 56.

The spelling of 42635622653624 in words is "forty-two trillion, six hundred thirty-five billion, six hundred twenty-two million, six hundred fifty-three thousand, six hundred twenty-four".