94950757440 has 672 divisors, whose sum is σ = 425097244800. Its totient is φ = 19729059840.

The previous prime is 94950757397. The next prime is 94950757459. The reversal of 94950757440 is 4475705949.

94950757440 is a `hidden beast` number, since 9 + 49 + 507 + 57 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4646766 + ... + 4667154.

Almost surely, 2^94950757440 is an apocalyptic number.

94950757440 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 94950757440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212548622400).

94950757440 is an abundant number, since it is smaller than the sum of its proper divisors (330146487360).

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

94950757440 is a wasteful number, since it uses less digits than its factorization.

94950757440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20440 (or 20417 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 94950757440 in words is "ninety-four billion, nine hundred fifty million, seven hundred fifty-seven thousand, four hundred forty".