74561117904 has 480 divisors, whose sum is σ = 273469996800. Its totient is φ = 18402951168.

The previous prime is 74561117867. The next prime is 74561117923. The reversal of 74561117904 is 40971116547.

74561117904 is a `hidden beast` number, since 7 + 4 + 561 + 11 + 79 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 74561117904.

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, 43884447 + ... + 43886145.

It is an arithmetic number, because the mean of its divisors is an integer number (569729160).

Almost surely, 2^74561117904 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 74561117904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136734998400).

74561117904 is an abundant number, since it is smaller than the sum of its proper divisors (198908878896).

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

74561117904 is a wasteful number, since it uses less digits than its factorization.

74561117904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 74561117904 in words is "seventy-four billion, five hundred sixty-one million, one hundred seventeen thousand, nine hundred four".