272666798208 has 640 divisors, whose sum is σ = 1013742259200. Its totient is φ = 70946979840.

The previous prime is 272666798207. The next prime is 272666798221. The reversal of 272666798208 is 802897666272.

It is a super-2 number, since 2×272666798208² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (272666798207) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38243988 + ... + 38251116.

It is an arithmetic number, because the mean of its divisors is an integer number (1583972280).

Almost surely, 2^272666798208 is an apocalyptic number.

272666798208 is a gapful number since it is divisible by the number (28) 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 272666798208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506871129600).

272666798208 is an abundant number, since it is smaller than the sum of its proper divisors (741075460992).

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

272666798208 is a wasteful number, since it uses less digits than its factorization.

272666798208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7210 (or 7189 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 272666798208 in words is "two hundred seventy-two billion, six hundred sixty-six million, seven hundred ninety-eight thousand, two hundred eight".