74913219729360 has 400 divisors, whose sum is σ = 275618522138256. Its totient is φ = 18792956952576.

The previous prime is 74913219729323. The next prime is 74913219729367. The reversal of 74913219729360 is 6392791231947.

74913219729360 is a `hidden beast` number, since 7 + 49 + 13 + 219 + 7 + 2 + 9 + 360 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 619646054976 + 74293573674384 = 787176^2 + 8619372^2 .

It is a super-2 number, since 2×74913219729360² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74913219729367) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 237016552 + ... + 237332408.

Almost surely, 2^{74913219729360} 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 74913219729360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137809261069128).

74913219729360 is an abundant number, since it is smaller than the sum of its proper divisors (200705302408896).

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

74913219729360 is a wasteful number, since it uses less digits than its factorization.

74913219729360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318052 (or 318037 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 74913219729360 in words is "seventy-four trillion, nine hundred thirteen billion, two hundred nineteen million, seven hundred twenty-nine thousand, three hundred sixty".