272402898768 has 1080 divisors, whose sum is σ = 1103721634080. Its totient is φ = 61817333760.

The previous prime is 272402898727. The next prime is 272402898797. The reversal of 272402898768 is 867898204272.

272402898768 is a `hidden beast` number, since 2 + 72 + 402 + 8 + 98 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 249224430 + ... + 249225522.

It is an arithmetic number, because the mean of its divisors is an integer number (1021964476).

Almost surely, 2^272402898768 is an apocalyptic number.

272402898768 is a gapful number since it is divisible by the number (28) 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 272402898768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551860817040).

272402898768 is an abundant number, since it is smaller than the sum of its proper divisors (831318735312).

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

272402898768 is a wasteful number, since it uses less digits than its factorization.

272402898768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 272402898768 in words is "two hundred seventy-two billion, four hundred two million, eight hundred ninety-eight thousand, seven hundred sixty-eight".