74788743168 has 144 divisors (see below), whose sum is σ = 217565056800. Its totient is φ = 24749383680.

The previous prime is 74788743151. The next prime is 74788743181. The reversal of 74788743168 is 86134788747.

74788743168 is a `hidden beast` number, since 7 + 478 + 8 + 74 + 31 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×74788743168² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2547453 + ... + 2576643.

It is an arithmetic number, because the mean of its divisors is an integer number (1510868450).

Almost surely, 2^74788743168 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 74788743168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108782528400).

74788743168 is an abundant number, since it is smaller than the sum of its proper divisors (142776313632).

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

74788743168 is a wasteful number, since it uses less digits than its factorization.

74788743168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29358 (or 29335 counting only the distinct ones).

The product of its digits is 50577408, while the sum is 63.

The spelling of 74788743168 in words is "seventy-four billion, seven hundred eighty-eight million, seven hundred forty-three thousand, one hundred sixty-eight".