74944168704 has 288 divisors, whose sum is σ = 237901487040. Its totient is φ = 23187161088.

The previous prime is 74944168681. The next prime is 74944168711. The reversal of 74944168704 is 40786144947.

74944168704 is a `hidden beast` number, since 74 + 9 + 441 + 68 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×74944168704² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8573424 + ... + 8582160.

It is an arithmetic number, because the mean of its divisors is an integer number (826046830).

Almost surely, 2^74944168704 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 74944168704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118950743520).

74944168704 is an abundant number, since it is smaller than the sum of its proper divisors (162957318336).

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

74944168704 is a wasteful number, since it uses less digits than its factorization.

74944168704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8852 (or 8832 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 74944168704 in words is "seventy-four billion, nine hundred forty-four million, one hundred sixty-eight thousand, seven hundred four".