74339860137984 has 1728 divisors, whose sum is σ = 262758992670720. Its totient is φ = 20171756666880.

The previous prime is 74339860137967. The next prime is 74339860137989. The reversal of 74339860137984 is 48973106893347.

74339860137984 is a `hidden beast` number, since 7 + 4 + 3 + 3 + 9 + 8 + 601 + 3 + 7 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (74339860137989) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 389213927329 + ... + 389213927519.

It is an arithmetic number, because the mean of its divisors is an integer number (152059602240).

Almost surely, 2^{74339860137984} 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 74339860137984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131379496335360).

74339860137984 is an abundant number, since it is smaller than the sum of its proper divisors (188419132532736).

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

74339860137984 is a wasteful number, since it uses less digits than its factorization.

74339860137984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 74339860137984 in words is "seventy-four trillion, three hundred thirty-nine billion, eight hundred sixty million, one hundred thirty-seven thousand, nine hundred eighty-four".