9835878976 has 315 divisors, whose sum is σ = 26163365123. Its totient is φ = 3665544960.

The previous prime is 9835878971. The next prime is 9835878991. The reversal of 9835878976 is 6798785389.

The square root of 9835878976 is 99176.

It is a perfect power (a square), and thus also a powerful number.

Its product of digits (182891520) is a multiple of the sum of its prime factors (108).

It is not an unprimeable number, because it can be changed into a prime (9835878971) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 427646901 + ... + 427646923.

Almost surely, 2^9835878976 is an apocalyptic number.

9835878976 is the 99176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9835878976

9835878976 is an abundant number, since it is smaller than the sum of its proper divisors (16327486147).

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

9835878976 is an equidigital number, since it uses as much as digits as its factorization.

9835878976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 43 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 70.

The cubic root of 9835878976 is about 2142.5833488849.

The spelling of 9835878976 in words is "nine billion, eight hundred thirty-five million, eight hundred seventy-eight thousand, nine hundred seventy-six".