5646326400 has 768 divisors, whose sum is σ = 24329692800. Its totient is φ = 1260748800.

The previous prime is 5646326393. The next prime is 5646326471. The reversal of 5646326400 is 46236465.

5646326400 is a `hidden beast` number, since 5 + 6 + 4 + 6 + 3 + 2 + 640 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 12354972 + ... + 12355428.

Almost surely, 2^5646326400 is an apocalyptic number.

5646326400 is a gapful number since it is divisible by the number (50) 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 5646326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12164846400).

5646326400 is an abundant number, since it is smaller than the sum of its proper divisors (18683366400).

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

5646326400 is a wasteful number, since it uses less digits than its factorization.

5646326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 5646326400 is about 75142.0414947584. The cubic root of 5646326400 is about 1780.6913949213.

The spelling of 5646326400 in words is "five billion, six hundred forty-six million, three hundred twenty-six thousand, four hundred".