94642708070400 has 2160 divisors, whose sum is σ = 390850186487040. Its totient is φ = 19768541184000.

The previous prime is 94642708070389. The next prime is 94642708070411. The reversal of 94642708070400 is 407080724649.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (94642708070389) and next prime (94642708070411).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 90050149875 + ... + 90050150925.

Almost surely, 2^{94642708070400} 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 94642708070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195425093243520).

94642708070400 is an abundant number, since it is smaller than the sum of its proper divisors (296207478416640).

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

94642708070400 is a wasteful number, since it uses less digits than its factorization.

94642708070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 94642708070400 in words is "ninety-four trillion, six hundred forty-two billion, seven hundred eight million, seventy thousand, four hundred".