74889664864 has 192 divisors, whose sum is σ = 175173788160. Its totient is φ = 30856826880.

The previous prime is 74889664849. The next prime is 74889664867. The reversal of 74889664864 is 46846698847.

It is a happy number.

It is a super-2 number, since 2×74889664864² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 74889664793 and 74889664802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74889664867) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163872124 + ... + 163872580.

It is an arithmetic number, because the mean of its divisors is an integer number (912363480).

Almost surely, 2^74889664864 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 74889664864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87586894080).

74889664864 is an abundant number, since it is smaller than the sum of its proper divisors (100284123296).

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

74889664864 is a wasteful number, since it uses less digits than its factorization.

74889664864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 773 counting only the distinct ones).

The product of its digits is 445906944, while the sum is 70.

The spelling of 74889664864 in words is "seventy-four billion, eight hundred eighty-nine million, six hundred sixty-four thousand, eight hundred sixty-four".