74290204800 has 1152 divisors, whose sum is σ = 319048329600. Its totient is φ = 16102195200.

The previous prime is 74290204693. The next prime is 74290204811. The reversal of 74290204800 is 840209247.

74290204800 is a `hidden beast` number, since 74 + 2 + 90 + 20 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 567100735 + ... + 567100865.

It is an arithmetic number, because the mean of its divisors is an integer number (276951675).

Almost surely, 2^74290204800 is an apocalyptic number.

74290204800 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 74290204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159524164800).

74290204800 is an abundant number, since it is smaller than the sum of its proper divisors (244758124800).

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

74290204800 is a wasteful number, since it uses less digits than its factorization.

74290204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 74290204800 in words is "seventy-four billion, two hundred ninety million, two hundred four thousand, eight hundred".