74127362816 has 144 divisors (see below), whose sum is σ = 161141503488. Its totient is φ = 33830092800.

The previous prime is 74127362807. The next prime is 74127362891. The reversal of 74127362816 is 61826372147.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176074286 + ... + 176074706.

Almost surely, 2^74127362816 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 74127362816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80570751744).

74127362816 is an abundant number, since it is smaller than the sum of its proper divisors (87014140672).

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

74127362816 is a wasteful number, since it uses less digits than its factorization.

74127362816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 904 counting only the distinct ones).

The product of its digits is 677376, while the sum is 47.

The spelling of 74127362816 in words is "seventy-four billion, one hundred twenty-seven million, three hundred sixty-two thousand, eight hundred sixteen".