74310566400 has 720 divisors, whose sum is σ = 315276945984. Its totient is φ = 16980295680.

The previous prime is 74310566389. The next prime is 74310566441. The reversal of 74310566400 is 466501347.

It is a happy number.

74310566400 is a `hidden beast` number, since 7 + 4 + 3 + 1 + 0 + 5 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 21771094 + ... + 21774506.

Almost surely, 2^74310566400 is an apocalyptic number.

74310566400 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 74310566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157638472992).

74310566400 is an abundant number, since it is smaller than the sum of its proper divisors (240966379584).

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

74310566400 is an equidigital number, since it uses as much as digits as its factorization.

74310566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3463 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 74310566400 in words is "seventy-four billion, three hundred ten million, five hundred sixty-six thousand, four hundred".