74861137920 has 208 divisors, whose sum is σ = 242822129472. Its totient is φ = 19688325120.

The previous prime is 74861137877. The next prime is 74861137957. The reversal of 74861137920 is 2973116847.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 74861137920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4476775 + ... + 4493465.

It is an arithmetic number, because the mean of its divisors is an integer number (1167414084).

Almost surely, 2^74861137920 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 74861137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121411064736).

74861137920 is an abundant number, since it is smaller than the sum of its proper divisors (167960991552).

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

74861137920 is a wasteful number, since it uses less digits than its factorization.

74861137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16796 (or 16774 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 74861137920 in words is "seventy-four billion, eight hundred sixty-one million, one hundred thirty-seven thousand, nine hundred twenty".