74937627360 has 384 divisors, whose sum is σ = 275660098560. Its totient is φ = 18989365248.

The previous prime is 74937627329. The next prime is 74937627361. The reversal of 74937627360 is 6372673947.

It is a happy number.

74937627360 is a `hidden beast` number, since 7 + 4 + 9 + 3 + 7 + 627 + 3 + 6 + 0 = 666.

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 = 74937627297 and 74937627306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74937627361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6867669 + ... + 6878571.

It is an arithmetic number, because the mean of its divisors is an integer number (717864840).

Almost surely, 2^74937627360 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 74937627360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137830049280).

74937627360 is an abundant number, since it is smaller than the sum of its proper divisors (200722471200).

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

74937627360 is a wasteful number, since it uses less digits than its factorization.

74937627360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11007 (or 10993 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 54.

The spelling of 74937627360 in words is "seventy-four billion, nine hundred thirty-seven million, six hundred twenty-seven thousand, three hundred sixty".