42765566556724 has 48 divisors (see below), whose sum is σ = 86020182743040. Its totient is φ = 18413202947040.

The previous prime is 42765566556709. The next prime is 42765566556731.

42765566556724 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42765566556724² (a number of 28 digits) contains 22 as substring.

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, 205033944 + ... + 205242415.

It is an arithmetic number, because the mean of its divisors is an integer number (1792087140480).

Almost surely, 2^{42765566556724} is an apocalyptic number.

42765566556724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42765566556724 is an abundant number, since it is smaller than the sum of its proper divisors (43254616186316).

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

42765566556724 is a wasteful number, since it uses less digits than its factorization.

42765566556724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410276500 (or 410276498 counting only the distinct ones).

The product of its digits is 2540160000, while the sum is 70.

The spelling of 42765566556724 in words is "forty-two trillion, seven hundred sixty-five billion, five hundred sixty-six million, five hundred fifty-six thousand, seven hundred twenty-four".