42672574560 has 192 divisors, whose sum is σ = 167586983424. Its totient is φ = 8867020800.

The previous prime is 42672574547. The next prime is 42672574579. The reversal of 42672574560 is 6547527624.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 540321 + ... + 614240.

It is an arithmetic number, because the mean of its divisors is an integer number (872848872).

Almost surely, 2^42672574560 is an apocalyptic number.

42672574560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42672574560 is an abundant number, since it is smaller than the sum of its proper divisors (124914408864).

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

42672574560 is a wasteful number, since it uses less digits than its factorization.

42672574560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154597 (or 1154589 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 42672574560 in words is "forty-two billion, six hundred seventy-two million, five hundred seventy-four thousand, five hundred sixty".