9637490016 has 288 divisors, whose sum is σ = 34656201216. Its totient is φ = 2467584000.

The previous prime is 9637489903. The next prime is 9637490021. The reversal of 9637490016 is 6100947369.

9637490016 is a `hidden beast` number, since 9 + 637 + 4 + 9 + 0 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1571436 + ... + 1577556.

It is an arithmetic number, because the mean of its divisors is an integer number (120334032).

Almost surely, 2^9637490016 is an apocalyptic number.

9637490016 is a gapful number since it is divisible by the number (96) 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 9637490016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17328100608).

9637490016 is an abundant number, since it is smaller than the sum of its proper divisors (25018711200).

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

9637490016 is a wasteful number, since it uses less digits than its factorization.

9637490016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6226 (or 6215 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 9637490016 is about 98170.7187301794. The cubic root of 9637490016 is about 2128.0801480168.

The spelling of 9637490016 in words is "nine billion, six hundred thirty-seven million, four hundred ninety thousand, sixteen".