74420236800 has 1440 divisors, whose sum is σ = 339841582080. Its totient is φ = 15128985600.

The previous prime is 74420236789. The next prime is 74420236817. The reversal of 74420236800 is 863202447.

It is a tau number, because it is divible by the number of its divisors (1440).

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, 324979086 + ... + 324979314.

Almost surely, 2^74420236800 is an apocalyptic number.

74420236800 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 74420236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169920791040).

74420236800 is an abundant number, since it is smaller than the sum of its proper divisors (265421345280).

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

74420236800 is a wasteful number, since it uses less digits than its factorization.

74420236800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 74420236800 in words is "seventy-four billion, four hundred twenty million, two hundred thirty-six thousand, eight hundred".