74625745662720 has 648 divisors, whose sum is σ = 304582441756320. Its totient is φ = 16817060413440.

The previous prime is 74625745662719. The next prime is 74625745662779. The reversal of 74625745662720 is 2726654752647.

74625745662720 is a `hidden beast` number, since 7 + 4 + 6 + 2 + 57 + 456 + 62 + 72 + 0 = 666.

74625745662720 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39147076 + ... + 41009084.

It is an arithmetic number, because the mean of its divisors is an integer number (470034632340).

Almost surely, 2^{74625745662720} is an apocalyptic number.

74625745662720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74625745662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152291220878160).

74625745662720 is an abundant number, since it is smaller than the sum of its proper divisors (229956696093600).

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

74625745662720 is a wasteful number, since it uses less digits than its factorization.

74625745662720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862121 (or 1862097 counting only the distinct ones).

The product of its (nonzero) digits is 237081600, while the sum is 63.

The spelling of 74625745662720 in words is "seventy-four trillion, six hundred twenty-five billion, seven hundred forty-five million, six hundred sixty-two thousand, seven hundred twenty".