7966870272 has 216 divisors, whose sum is σ = 24153948000. Its totient is φ = 2520612864.

The previous prime is 7966870243. The next prime is 7966870309. The reversal of 7966870272 is 2720786697.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7895304 + ... + 7896312.

Almost surely, 2^7966870272 is an apocalyptic number.

7966870272 is a gapful number since it is divisible by the number (72) 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 7966870272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12076974000).

7966870272 is an abundant number, since it is smaller than the sum of its proper divisors (16187077728).

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

7966870272 is a wasteful number, since it uses less digits than its factorization.

7966870272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 7966870272 is about 89257.3261530951. The cubic root of 7966870272 is about 1997.2353695033.

The spelling of 7966870272 in words is "seven billion, nine hundred sixty-six million, eight hundred seventy thousand, two hundred seventy-two".