742677157672564 has 24 divisors (see below), whose sum is σ = 1367368029925128. Its totient is φ = 352490147343360.

The previous prime is 742677157672561. The next prime is 742677157672573. The reversal of 742677157672564 is 465276751776247.

It can be written as a sum of positive squares in 4 ways, for example, as 223070056380900 + 519607101291664 = 14935530^2 + 22794892^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742677157672561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61196200069 + ... + 61196212204.

It is an arithmetic number, because the mean of its divisors is an integer number (56973667913547).

Almost surely, 2^{742677157672564} is an apocalyptic number.

742677157672564 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

742677157672564 is a deficient number, since it is larger than the sum of its proper divisors (624690872252564).

742677157672564 is a wasteful number, since it uses less digits than its factorization.

742677157672564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122392412355 (or 122392412353 counting only the distinct ones).

The product of its digits is 5808499200, while the sum is 76.

The spelling of 742677157672564 in words is "seven hundred forty-two trillion, six hundred seventy-seven billion, one hundred fifty-seven million, six hundred seventy-two thousand, five hundred sixty-four".