74423262412800 has 2688 divisors, whose sum is σ = 333256002542400. Its totient is φ = 16098514698240.

The previous prime is 74423262412727. The next prime is 74423262412841. The reversal of 74423262412800 is 821426232447.

74423262412800 is a `hidden beast` number, since 7 + 4 + 4 + 2 + 3 + 2 + 624 + 12 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 79427173932 + ... + 79427174868.

Almost surely, 2^{74423262412800} is an apocalyptic number.

74423262412800 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 74423262412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166628001271200).

74423262412800 is an abundant number, since it is smaller than the sum of its proper divisors (258832740129600).

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

74423262412800 is an frugal number, since it uses more digits than its factorization.

74423262412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 74423262412800 in words is "seventy-four trillion, four hundred twenty-three billion, two hundred sixty-two million, four hundred twelve thousand, eight hundred".