5646493994400 has 1008 divisors, whose sum is σ = 23944594572864. Its totient is φ = 1272880189440.

The previous prime is 5646493994377. The next prime is 5646493994497. The reversal of 5646493994400 is 44993946465.

5646493994400 is a `hidden beast` number, since 5 + 64 + 6 + 49 + 3 + 99 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 298005727 + ... + 298024673.

It is an arithmetic number, because the mean of its divisors is an integer number (23754558108).

Almost surely, 2^{5646493994400} is an apocalyptic number.

5646493994400 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 5646493994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11972297286432).

5646493994400 is an abundant number, since it is smaller than the sum of its proper divisors (18298100578464).

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

5646493994400 is a wasteful number, since it uses less digits than its factorization.

5646493994400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19065 (or 19037 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 5646493994400 in words is "five trillion, six hundred forty-six billion, four hundred ninety-three million, nine hundred ninety-four thousand, four hundred".