8996150400 has 768 divisors, whose sum is σ = 33835929600. Its totient is φ = 2090188800.

The previous prime is 8996150399. The next prime is 8996150413. The reversal of 8996150400 is 40516998.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209212779 + ... + 209212821.

It is an arithmetic number, because the mean of its divisors is an integer number (44057200).

Almost surely, 2^8996150400 is an apocalyptic number.

8996150400 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 8996150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16917964800).

8996150400 is an abundant number, since it is smaller than the sum of its proper divisors (24839779200).

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

8996150400 is a wasteful number, since it uses less digits than its factorization.

8996150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 8996150400 is about 94848.0384615307. The cubic root of 8996150400 is about 2079.7872070279.

The spelling of 8996150400 in words is "eight billion, nine hundred ninety-six million, one hundred fifty thousand, four hundred".