272568696400 has 480 divisors, whose sum is σ = 884326899456. Its totient is φ = 77967360000.

The previous prime is 272568696371. The next prime is 272568696419. The reversal of 272568696400 is 4696865272.

272568696400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72470520 + ... + 72474280.

Almost surely, 2^272568696400 is an apocalyptic number.

272568696400 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 272568696400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442163449728).

272568696400 is an abundant number, since it is smaller than the sum of its proper divisors (611758203056).

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

272568696400 is a wasteful number, since it uses less digits than its factorization.

272568696400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3991 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 272568696400 in words is "two hundred seventy-two billion, five hundred sixty-eight million, six hundred ninety-six thousand, four hundred".