9976041600 has 384 divisors, whose sum is σ = 38274871680. Its totient is φ = 2236416000.

The previous prime is 9976041577. The next prime is 9976041611. The reversal of 9976041600 is 61406799.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 3560200 + ... + 3563000.

It is an arithmetic number, because the mean of its divisors is an integer number (99674145).

Almost surely, 2^9976041600 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 9976041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19137435840).

9976041600 is an abundant number, since it is smaller than the sum of its proper divisors (28298830080).

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

9976041600 is a wasteful number, since it uses less digits than its factorization.

9976041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 9976041600 is about 99880.1361633033. The cubic root of 9976041600 is about 2152.7127538684.

The spelling of 9976041600 in words is "nine billion, nine hundred seventy-six million, forty-one thousand, six hundred".