74725617600 has 504 divisors, whose sum is σ = 270628750080. Its totient is φ = 19553280000.

The previous prime is 74725617587. The next prime is 74725617607. The reversal of 74725617600 is 671652747.

74725617600 is a `hidden beast` number, since 7 + 4 + 7 + 25 + 6 + 17 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74725617607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 277790266 + ... + 277790534.

Almost surely, 2^74725617600 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 74725617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135314375040).

74725617600 is an abundant number, since it is smaller than the sum of its proper divisors (195903132480).

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

74725617600 is a wasteful number, since it uses less digits than its factorization.

74725617600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 74725617600 in words is "seventy-four billion, seven hundred twenty-five million, six hundred seventeen thousand, six hundred".