5646041299600 has 675 divisors, whose sum is σ = 15939577534167. Its totient is φ = 1921593922560.

The previous prime is 5646041299567. The next prime is 5646041299681. The reversal of 5646041299600 is 69921406465.

The square root of 5646041299600 is 2376140.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 4497063114384 + 1148978185216 = 2120628^2 + 1071904^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 152595710782 + ... + 152595710818.

Almost surely, 2^{5646041299600} is an apocalyptic number.

5646041299600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5646041299600 is the 2376140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5646041299600

5646041299600 is an abundant number, since it is smaller than the sum of its proper divisors (10293536234567).

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

5646041299600 is an equidigital number, since it uses as much as digits as its factorization.

5646041299600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 5646041299600 in words is "five trillion, six hundred forty-six billion, forty-one million, two hundred ninety-nine thousand, six hundred".