74350734581760 has 2016 divisors, whose sum is σ = 309474163302912. Its totient is φ = 15174708756480.

The previous prime is 74350734581749. The next prime is 74350734581797. The reversal of 74350734581760 is 6718543705347.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 74350734581694 and 74350734581703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31544646502 + ... + 31544648858.

Almost surely, 2^{74350734581760} is an apocalyptic number.

74350734581760 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74350734581760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154737081651456).

74350734581760 is an abundant number, since it is smaller than the sum of its proper divisors (235123428721152).

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

74350734581760 is a wasteful number, since it uses less digits than its factorization.

74350734581760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 60.

The spelling of 74350734581760 in words is "seventy-four trillion, three hundred fifty billion, seven hundred thirty-four million, five hundred eighty-one thousand, seven hundred sixty".