8637972480 has 408 divisors, whose sum is σ = 31284026280. Its totient is φ = 2202009600.

The previous prime is 8637972479. The next prime is 8637972491. The reversal of 8637972480 is 842797368.

It can be written as a sum of positive squares in 4 ways, for example, as 2973302784 + 5664669696 = 54528^2 + 75264^2 .

It is a super-2 number, since 2×8637972480² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 85524430 + ... + 85524530.

It is an arithmetic number, because the mean of its divisors is an integer number (76676535).

Almost surely, 2^8637972480 is an apocalyptic number.

8637972480 is a gapful number since it is divisible by the number (80) 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 8637972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15642013140).

8637972480 is an abundant number, since it is smaller than the sum of its proper divisors (22646053800).

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

8637972480 is a wasteful number, since it uses less digits than its factorization.

8637972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 8637972480 is about 92940.6933479625. The cubic root of 8637972480 is about 2051.8106137128.

The spelling of 8637972480 in words is "eight billion, six hundred thirty-seven million, nine hundred seventy-two thousand, four hundred eighty".