272640986400 has 288 divisors, whose sum is σ = 938068084800. Its totient is φ = 68589158400.

The previous prime is 272640986393. The next prime is 272640986417. The reversal of 272640986400 is 4689046272.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 272640986400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10977196 + ... + 11002004.

It is an arithmetic number, because the mean of its divisors is an integer number (3257180850).

Almost surely, 2^272640986400 is an apocalyptic number.

272640986400 is a gapful number since it is divisible by the number (20) 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 272640986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469034042400).

272640986400 is an abundant number, since it is smaller than the sum of its proper divisors (665427098400).

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

272640986400 is a wasteful number, since it uses less digits than its factorization.

272640986400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25092 (or 25079 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 272640986400 in words is "two hundred seventy-two billion, six hundred forty million, nine hundred eighty-six thousand, four hundred".