9964975860 has 384 divisors, whose sum is σ = 37597593600. Its totient is φ = 2141821440.

The previous prime is 9964975843. The next prime is 9964975877. The reversal of 9964975860 is 685794699.

It is a happy number.

9964975860 is a `hidden beast` number, since 9 + 9 + 6 + 49 + 7 + 586 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9964975843) and next prime (9964975877).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5302401 + ... + 5304279.

It is an arithmetic number, because the mean of its divisors is an integer number (97910400).

Almost surely, 2^9964975860 is an apocalyptic number.

9964975860 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9964975860 is the 63135-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9964975860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18798796800).

9964975860 is an abundant number, since it is smaller than the sum of its proper divisors (27632617740).

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

9964975860 is a wasteful number, since it uses less digits than its factorization.

9964975860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1980 counting only the distinct ones).

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

The square root of 9964975860 is about 99824.7256945893. The cubic root of 9964975860 is about 2151.9165070932.

The spelling of 9964975860 in words is "nine billion, nine hundred sixty-four million, nine hundred seventy-five thousand, eight hundred sixty".