74885892762960 has 480 divisors, whose sum is σ = 261728811096480. Its totient is φ = 19165095936000.

The previous prime is 74885892762859. The next prime is 74885892762997. The reversal of 74885892762960 is 6926729858847.

74885892762960 is a `hidden beast` number, since 7 + 4 + 8 + 8 + 58 + 9 + 276 + 296 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 53733767230224 + 21152125532736 = 7330332^2 + 4599144^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 74885892762960.

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, 11175327610 + ... + 11175334310.

It is an arithmetic number, because the mean of its divisors is an integer number (545268356451).

Almost surely, 2^{74885892762960} 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 74885892762960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130864405548240).

74885892762960 is an abundant number, since it is smaller than the sum of its proper divisors (186842918333520).

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

74885892762960 is a wasteful number, since it uses less digits than its factorization.

74885892762960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9887 (or 9878 counting only the distinct ones).

The product of its (nonzero) digits is 5852528640, while the sum is 81.

The spelling of 74885892762960 in words is "seventy-four trillion, eight hundred eighty-five billion, eight hundred ninety-two million, seven hundred sixty-two thousand, nine hundred sixty".