8963750400 has 240 divisors, whose sum is σ = 32304637728. Its totient is φ = 2172928000.

The previous prime is 8963750399. The next prime is 8963750431. The reversal of 8963750400 is 40573698.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411790 + ... + 433010.

Almost surely, 2^8963750400 is an apocalyptic number.

8963750400 is a gapful number since it is divisible by the number (80) 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 8963750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16152318864).

8963750400 is an abundant number, since it is smaller than the sum of its proper divisors (23340887328).

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

8963750400 is a wasteful number, since it uses less digits than its factorization.

8963750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21263 (or 21242 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 8963750400 is about 94677.0848727399. The cubic root of 8963750400 is about 2077.2873909404.

The spelling of 8963750400 in words is "eight billion, nine hundred sixty-three million, seven hundred fifty thousand, four hundred".