74450534400 has 1224 divisors, whose sum is σ = 319465115424. Its totient is φ = 16986931200.

The previous prime is 74450534377. The next prime is 74450534479. The reversal of 74450534400 is 443505447.

74450534400 is a `hidden beast` number, since 74 + 4 + 50 + 534 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1224).

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

It is a zygodrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4379443192 + ... + 4379443208.

Almost surely, 2^74450534400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74450534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159732557712).

74450534400 is an abundant number, since it is smaller than the sum of its proper divisors (245014581024).

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

74450534400 is an equidigital number, since it uses as much as digits as its factorization.

74450534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 74450534400 in words is "seventy-four billion, four hundred fifty million, five hundred thirty-four thousand, four hundred".