74333579768 has 128 divisors (see below), whose sum is σ = 173444160000. Its totient is φ = 29765594880.

The previous prime is 74333579759. The next prime is 74333579807. The reversal of 74333579768 is 86797533347.

It is a super-2 number, since 2×74333579768² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 74333579768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3796163 + ... + 3815693.

It is an arithmetic number, because the mean of its divisors is an integer number (1355032500).

Almost surely, 2^74333579768 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 74333579768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86722080000).

74333579768 is an abundant number, since it is smaller than the sum of its proper divisors (99110580232).

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

74333579768 is a wasteful number, since it uses less digits than its factorization.

74333579768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19650 (or 19632 counting only the distinct ones).

The product of its digits is 80015040, while the sum is 62.

The spelling of 74333579768 in words is "seventy-four billion, three hundred thirty-three million, five hundred seventy-nine thousand, seven hundred sixty-eight".