74825423757000 has 512 divisors, whose sum is σ = 306014168678400. Its totient is φ = 16551244512000.

The previous prime is 74825423756981. The next prime is 74825423757011. The reversal of 74825423757000 is 75732452847.

It is a happy number.

74825423757000 is a `hidden beast` number, since 7 + 4 + 8 + 25 + 42 + 3 + 7 + 570 + 0 + 0 = 666.

74825423757000 is digitally balanced in base 3, 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 526512 + ... + 12244511.

It is an arithmetic number, because the mean of its divisors is an integer number (597683923200).

Almost surely, 2^{74825423757000} is an apocalyptic number.

74825423757000 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 74825423757000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153007084339200).

74825423757000 is an abundant number, since it is smaller than the sum of its proper divisors (231188744921400).

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

74825423757000 is a wasteful number, since it uses less digits than its factorization.

74825423757000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12771091 (or 12771071 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 54.

The spelling of 74825423757000 in words is "seventy-four trillion, eight hundred twenty-five billion, four hundred twenty-three million, seven hundred fifty-seven thousand".