272764347520 has 256 divisors, whose sum is σ = 778572103680. Its totient is φ = 89408286720.

The previous prime is 272764347509. The next prime is 272764347521. The reversal of 272764347520 is 25743467272.

272764347520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×272764347520² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (272764347521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11515209 + ... + 11538871.

It is an arithmetic number, because the mean of its divisors is an integer number (3041297280).

Almost surely, 2^272764347520 is an apocalyptic number.

272764347520 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 272764347520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389286051840).

272764347520 is an abundant number, since it is smaller than the sum of its proper divisors (505807756160).

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

272764347520 is a wasteful number, since it uses less digits than its factorization.

272764347520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23803 (or 23791 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 49.

The spelling of 272764347520 in words is "two hundred seventy-two billion, seven hundred sixty-four million, three hundred forty-seven thousand, five hundred twenty".