242620077665680 has 160 divisors (see below), whose sum is σ = 672600290076288. Its totient is φ = 80223400857600.

The previous prime is 242620077665659. The next prime is 242620077665681. The reversal of 242620077665680 is 86566770026242.

242620077665680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242620077665681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157502541 + ... + 159035500.

Almost surely, 2^{242620077665680} is an apocalyptic number.

242620077665680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242620077665680 is an abundant number, since it is smaller than the sum of its proper divisors (429980212410608).

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

242620077665680 is a wasteful number, since it uses less digits than its factorization.

242620077665680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316538145 (or 316538139 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 61.

The spelling of 242620077665680 in words is "two hundred forty-two trillion, six hundred twenty billion, seventy-seven million, six hundred sixty-five thousand, six hundred eighty".