272401664716480 has 672 divisors, whose sum is σ = 743947399722240. Its totient is φ = 94696003584000.

The previous prime is 272401664716469. The next prime is 272401664716507. The reversal of 272401664716480 is 84617466104272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158097308899 + ... + 158097310621.

It is an arithmetic number, because the mean of its divisors is an integer number (1107064582920).

Almost surely, 2^{272401664716480} is an apocalyptic number.

272401664716480 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 272401664716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371973699861120).

272401664716480 is an abundant number, since it is smaller than the sum of its proper divisors (471545735005760).

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

272401664716480 is a wasteful number, since it uses less digits than its factorization.

272401664716480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 58.

The spelling of 272401664716480 in words is "two hundred seventy-two trillion, four hundred one billion, six hundred sixty-four million, seven hundred sixteen thousand, four hundred eighty".