74831765760 has 360 divisors, whose sum is σ = 268748194176. Its totient is φ = 19881676800.

The previous prime is 74831765747. The next prime is 74831765761. The reversal of 74831765760 is 6756713847.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 74831765697 and 74831765706.

It is not an unprimeable number, because it can be changed into a prime (74831765761) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 31828585 + ... + 31830935.

Almost surely, 2^74831765760 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 74831765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134374097088).

74831765760 is an abundant number, since it is smaller than the sum of its proper divisors (193916428416).

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

74831765760 is a wasteful number, since it uses less digits than its factorization.

74831765760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 74831765760 in words is "seventy-four billion, eight hundred thirty-one million, seven hundred sixty-five thousand, seven hundred sixty".