94290056640 has 1792 divisors, whose sum is σ = 420302131200. Its totient is φ = 19619905536.

The previous prime is 94290056579. The next prime is 94290056683. The reversal of 94290056640 is 4665009249.

94290056640 is a `hidden beast` number, since 9 + 42 + 9 + 0 + 0 + 566 + 40 = 666.

It is a super-2 number, since 2×94290056640² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 834425224 + ... + 834425336.

It is an arithmetic number, because the mean of its divisors is an integer number (234543600).

Almost surely, 2^94290056640 is an apocalyptic number.

94290056640 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 94290056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210151065600).

94290056640 is an abundant number, since it is smaller than the sum of its proper divisors (326012074560).

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

94290056640 is a wasteful number, since it uses less digits than its factorization.

94290056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 94290056640 in words is "ninety-four billion, two hundred ninety million, fifty-six thousand, six hundred forty".