74296258560 has 312 divisors, whose sum is σ = 267084919920. Its totient is φ = 19811008512.

The previous prime is 74296258549. The next prime is 74296258571. The reversal of 74296258560 is 6585269247.

74296258560 is a `hidden beast` number, since 7 + 4 + 2 + 9 + 625 + 8 + 5 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (74296258549) and next prime (74296258571).

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 = 74296258497 and 74296258506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4969176 + ... + 4984104.

It is an arithmetic number, because the mean of its divisors is an integer number (856041410).

Almost surely, 2^74296258560 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 74296258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133542459960).

74296258560 is an abundant number, since it is smaller than the sum of its proper divisors (192788661360).

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

74296258560 is an equidigital number, since it uses as much as digits as its factorization.

74296258560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14973 (or 14939 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 74296258560 in words is "seventy-four billion, two hundred ninety-six million, two hundred fifty-eight thousand, five hundred sixty".