74135775947904 has 384 divisors, whose sum is σ = 242286277222080. Its totient is φ = 22377946152960.

The previous prime is 74135775947819. The next prime is 74135775947921. The reversal of 74135775947904 is 40974957753147.

74135775947904 is a `hidden beast` number, since 7 + 4 + 1 + 3 + 577 + 5 + 9 + 47 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×74135775947904² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87509452 + ... + 88352564.

Almost surely, 2^{74135775947904} 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 74135775947904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121143138611040).

74135775947904 is an abundant number, since it is smaller than the sum of its proper divisors (168150501274176).

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

74135775947904 is a wasteful number, since it uses less digits than its factorization.

74135775947904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843410 (or 843386 counting only the distinct ones).

The product of its (nonzero) digits is 933508800, while the sum is 72.

The spelling of 74135775947904 in words is "seventy-four trillion, one hundred thirty-five billion, seven hundred seventy-five million, nine hundred forty-seven thousand, nine hundred four".