9976905600 has 384 divisors, whose sum is σ = 35167258080. Its totient is φ = 2477260800.

The previous prime is 9976905581. The next prime is 9976905619. The reversal of 9976905600 is 65096799.

9976905600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9976905581) and next prime (9976905619).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×9976905600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18441330 + ... + 18441870.

Almost surely, 2^9976905600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9976905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17583629040).

9976905600 is an abundant number, since it is smaller than the sum of its proper divisors (25190352480).

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

9976905600 is a wasteful number, since it uses less digits than its factorization.

9976905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 51.

The square root of 9976905600 is about 99884.4612539909. The cubic root of 9976905600 is about 2152.7748990960.

The spelling of 9976905600 in words is "nine billion, nine hundred seventy-six million, nine hundred five thousand, six hundred".