42007162764 has 72 divisors (see below), whose sum is σ = 114290945328. Its totient is φ = 11973467520.

The previous prime is 42007162759. The next prime is 42007162789. The reversal of 42007162764 is 46726170024.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162702 + ... + 332394.

Almost surely, 2^42007162764 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 42007162764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57145472664).

42007162764 is an abundant number, since it is smaller than the sum of its proper divisors (72283782564).

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

42007162764 is a wasteful number, since it uses less digits than its factorization.

42007162764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170135 (or 170126 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 42007162764 in words is "forty-two billion, seven million, one hundred sixty-two thousand, seven hundred sixty-four".