74893502880 has 768 divisors, whose sum is σ = 309452451840. Its totient is φ = 16563695616.

The previous prime is 74893502869. The next prime is 74893502897. The reversal of 74893502880 is 8820539847.

It is a happy number.

74893502880 is a `hidden beast` number, since 7 + 4 + 8 + 9 + 350 + 288 + 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 127 ways as a sum of consecutive naturals, for example, 133025479 + ... + 133026041.

It is an arithmetic number, because the mean of its divisors is an integer number (402932880).

Almost surely, 2^74893502880 is an apocalyptic number.

74893502880 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 74893502880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154726225920).

74893502880 is an abundant number, since it is smaller than the sum of its proper divisors (234558948960).

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

74893502880 is a wasteful number, since it uses less digits than its factorization.

74893502880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 74893502880 in words is "seventy-four billion, eight hundred ninety-three million, five hundred two thousand, eight hundred eighty".