272689061760864 has 96 divisors (see below), whose sum is σ = 908963539223040. Its totient is φ = 77911160501376.

The previous prime is 272689061760833. The next prime is 272689061760931. The reversal of 272689061760864 is 468067160986272.

272689061760864 is a `hidden beast` number, since 2 + 7 + 2 + 6 + 8 + 9 + 0 + 6 + 1 + 7 + 608 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 272689061760792 and 272689061760801.

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, 22543732524 + ... + 22543744619.

It is an arithmetic number, because the mean of its divisors is an integer number (9468370200240).

Almost surely, 2^{272689061760864} is an apocalyptic number.

272689061760864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

272689061760864 is an abundant number, since it is smaller than the sum of its proper divisors (636274477462176).

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

272689061760864 is a wasteful number, since it uses less digits than its factorization.

272689061760864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45087477169 (or 45087477155 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 272689061760864 in words is "two hundred seventy-two trillion, six hundred eighty-nine billion, sixty-one million, seven hundred sixty thousand, eight hundred sixty-four".