74360716560 has 480 divisors, whose sum is σ = 280030514400. Its totient is φ = 17662095360.

The previous prime is 74360716553. The next prime is 74360716571. The reversal of 74360716560 is 6561706347.

74360716560 is a `hidden beast` number, since 74 + 3 + 6 + 0 + 7 + 16 + 560 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 68585324544 + 5775392016 = 261888^2 + 75996^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45872550 + ... + 45874170.

It is an arithmetic number, because the mean of its divisors is an integer number (583396905).

Almost surely, 2^74360716560 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 74360716560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140015257200).

74360716560 is an abundant number, since it is smaller than the sum of its proper divisors (205669797840).

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

74360716560 is a wasteful number, since it uses less digits than its factorization.

74360716560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 74360716560 in words is "seventy-four billion, three hundred sixty million, seven hundred sixteen thousand, five hundred sixty".