272740378560 has 896 divisors, whose sum is σ = 1034256625920. Its totient is φ = 60246982656.

The previous prime is 272740378553. The next prime is 272740378627. The reversal of 272740378560 is 65873047272.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 596805852 + ... + 596806308.

It is an arithmetic number, because the mean of its divisors is an integer number (1154304270).

Almost surely, 2^272740378560 is an apocalyptic number.

272740378560 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 272740378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517128312960).

272740378560 is an abundant number, since it is smaller than the sum of its proper divisors (761516247360).

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

272740378560 is a wasteful number, since it uses less digits than its factorization.

272740378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 51.

The spelling of 272740378560 in words is "two hundred seventy-two billion, seven hundred forty million, three hundred seventy-eight thousand, five hundred sixty".