272732480364960 has 2304 divisors, whose sum is σ = 1281700288512000. Its totient is φ = 53687805696000.

The previous prime is 272732480364937. The next prime is 272732480364977. The reversal of 272732480364960 is 69463084237272.

272732480364960 is a `hidden beast` number, since 2 + 7 + 2 + 7 + 3 + 2 + 480 + 3 + 64 + 96 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5884045785 + ... + 5884092135.

It is an arithmetic number, because the mean of its divisors is an integer number (556293528000).

Almost surely, 2^{272732480364960} is an apocalyptic number.

272732480364960 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 272732480364960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640850144256000).

272732480364960 is an abundant number, since it is smaller than the sum of its proper divisors (1008967808147040).

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

272732480364960 is a wasteful number, since it uses less digits than its factorization.

272732480364960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46445 (or 46398 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 272732480364960 in words is "two hundred seventy-two trillion, seven hundred thirty-two billion, four hundred eighty million, three hundred sixty-four thousand, nine hundred sixty".