272248616640 has 2688 divisors, whose sum is σ = 1302269460480. Its totient is φ = 46581350400.

The previous prime is 272248616623. The next prime is 272248616713. The reversal of 272248616640 is 46616842272.

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 272248616640.

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, 7358070702 + ... + 7358070738.

Almost surely, 2^272248616640 is an apocalyptic number.

272248616640 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 272248616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651134730240).

272248616640 is an abundant number, since it is smaller than the sum of its proper divisors (1030020843840).

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

272248616640 is a wasteful number, since it uses less digits than its factorization.

272248616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

It can be divided in two parts, 272248 and 616640, that added together give a palindrome (888888).

The spelling of 272248616640 in words is "two hundred seventy-two billion, two hundred forty-eight million, six hundred sixteen thousand, six hundred forty".