272629615104 has 640 divisors, whose sum is σ = 1026862848000. Its totient is φ = 70799339520.

The previous prime is 272629615081. The next prime is 272629615127. The reversal of 272629615104 is 401516926272.

272629615104 is a `hidden beast` number, since 2 + 7 + 2 + 6 + 29 + 615 + 1 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (272629615081) and next prime (272629615127).

It is a self number, because there is not a number n which added to its sum of digits gives 272629615104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52155339 + ... + 52160565.

It is an arithmetic number, because the mean of its divisors is an integer number (1604473200).

Almost surely, 2^272629615104 is an apocalyptic number.

272629615104 is a gapful number since it is divisible by the number (24) 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 272629615104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513431424000).

272629615104 is an abundant number, since it is smaller than the sum of its proper divisors (754233232896).

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

272629615104 is an equidigital number, since it uses as much as digits as its factorization.

272629615104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5286 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 272629615104 in words is "two hundred seventy-two billion, six hundred twenty-nine million, six hundred fifteen thousand, one hundred four".