74825765280 has 576 divisors, whose sum is σ = 304296265728. Its totient is φ = 17008911360.

The previous prime is 74825765263. The next prime is 74825765309. The reversal of 74825765280 is 8256752847.

74825765280 is a `hidden beast` number, since 7 + 48 + 2 + 5 + 76 + 528 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 57425109 + ... + 57426411.

It is an arithmetic number, because the mean of its divisors is an integer number (528292128).

Almost surely, 2^74825765280 is an apocalyptic number.

74825765280 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 74825765280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152148132864).

74825765280 is an abundant number, since it is smaller than the sum of its proper divisors (229470500448).

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

74825765280 is a wasteful number, since it uses less digits than its factorization.

74825765280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 74825765280 in words is "seventy-four billion, eight hundred twenty-five million, seven hundred sixty-five thousand, two hundred eighty".