95706374400 has 1944 divisors, whose sum is σ = 458060890560. Its totient is φ = 18513100800.

The previous prime is 95706374371. The next prime is 95706374411. The reversal of 95706374400 is 447360759.

95706374400 is a `hidden beast` number, since 9 + 5 + 7 + 0 + 637 + 4 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3087302385 + ... + 3087302415.

Almost surely, 2^95706374400 is an apocalyptic number.

95706374400 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 95706374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229030445280).

95706374400 is an abundant number, since it is smaller than the sum of its proper divisors (362354516160).

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

95706374400 is a wasteful number, since it uses less digits than its factorization.

95706374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 95706374400 in words is "ninety-five billion, seven hundred six million, three hundred seventy-four thousand, four hundred".