272041515036864 has 448 divisors, whose sum is σ = 848189265264000. Its totient is φ = 85206054076416.

The previous prime is 272041515036859. The next prime is 272041515036911. The reversal of 272041515036864 is 468630515140272.

272041515036864 is a `hidden beast` number, since 2 + 7 + 2 + 0 + 4 + 1 + 51 + 503 + 6 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 272041515036864.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77350443234 + ... + 77350446750.

Almost surely, 2^{272041515036864} is an apocalyptic number.

272041515036864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272041515036864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424094632632000).

272041515036864 is an abundant number, since it is smaller than the sum of its proper divisors (576147750227136).

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

272041515036864 is a wasteful number, since it uses less digits than its factorization.

272041515036864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7137 (or 7121 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 272041515036864 in words is "two hundred seventy-two trillion, forty-one billion, five hundred fifteen million, thirty-six thousand, eight hundred sixty-four".