94575630240 has 768 divisors, whose sum is σ = 411201100800. Its totient is φ = 19768541184.

The previous prime is 94575630217. The next prime is 94575630251. The reversal of 94575630240 is 4203657549.

94575630240 is a `hidden beast` number, since 9 + 4 + 5 + 7 + 5 + 630 + 2 + 4 + 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 127 ways as a sum of consecutive naturals, for example, 44421496 + ... + 44423624.

It is an arithmetic number, because the mean of its divisors is an integer number (535418100).

Almost surely, 2^94575630240 is an apocalyptic number.

94575630240 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 94575630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205600550400).

94575630240 is an abundant number, since it is smaller than the sum of its proper divisors (316625470560).

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

94575630240 is a wasteful number, since it uses less digits than its factorization.

94575630240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 94575630240 in words is "ninety-four billion, five hundred seventy-five million, six hundred thirty thousand, two hundred forty".