9875496960 has 672 divisors, whose sum is σ = 40483048320. Its totient is φ = 2179989504.

The previous prime is 9875496923. The next prime is 9875496971. The reversal of 9875496960 is 696945789.

It is a happy number.

9875496960 is a `hidden beast` number, since 9 + 87 + 5 + 496 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110960596 + ... + 110960684.

Almost surely, 2^9875496960 is an apocalyptic number.

9875496960 is a gapful number since it is divisible by the number (90) 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 9875496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20241524160).

9875496960 is an abundant number, since it is smaller than the sum of its proper divisors (30607551360).

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

9875496960 is a wasteful number, since it uses less digits than its factorization.

9875496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The square root of 9875496960 is about 99375.5350174277. The cubic root of 9875496960 is about 2145.4562023787.

The spelling of 9875496960 in words is "nine billion, eight hundred seventy-five million, four hundred ninety-six thousand, nine hundred sixty".