9975398400 has 768 divisors, whose sum is σ = 40956753600. Its totient is φ = 2359296000.

The previous prime is 9975398383. The next prime is 9975398413. The reversal of 9975398400 is 48935799.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 243302380 + ... + 243302420.

Almost surely, 2^9975398400 is an apocalyptic number.

9975398400 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 9975398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20478376800).

9975398400 is an abundant number, since it is smaller than the sum of its proper divisors (30981355200).

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

9975398400 is a wasteful number, since it uses less digits than its factorization.

9975398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 9975398400 is about 99876.9162519548. The cubic root of 9975398400 is about 2152.6664878691. Note that the first 3 decimals are identical.

The spelling of 9975398400 in words is "nine billion, nine hundred seventy-five million, three hundred ninety-eight thousand, four hundred".