74939477760 has 864 divisors, whose sum is σ = 317588544000. Its totient is φ = 15933210624.

The previous prime is 74939477729. The next prime is 74939477777. The reversal of 74939477760 is 6777493947.

74939477760 is a `hidden beast` number, since 7 + 4 + 93 + 9 + 477 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90397026 + ... + 90397854.

Almost surely, 2^74939477760 is an apocalyptic number.

74939477760 is a gapful number since it is divisible by the number (70) 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 74939477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158794272000).

74939477760 is an abundant number, since it is smaller than the sum of its proper divisors (242649066240).

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

74939477760 is a wasteful number, since it uses less digits than its factorization.

74939477760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 56010528, while the sum is 63.

The spelling of 74939477760 in words is "seventy-four billion, nine hundred thirty-nine million, four hundred seventy-seven thousand, seven hundred sixty".