5646600273600 has 1008 divisors, whose sum is σ = 23965035660384. Its totient is φ = 1242832896000.

The previous prime is 5646600273599. The next prime is 5646600273617. The reversal of 5646600273600 is 63720066465.

5646600273600 is a `hidden beast` number, since 5 + 6 + 4 + 6 + 600 + 2 + 7 + 36 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 125588724 + ... + 125633676.

Almost surely, 2^{5646600273600} is an apocalyptic number.

5646600273600 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 5646600273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11982517830192).

5646600273600 is an abundant number, since it is smaller than the sum of its proper divisors (18318435386784).

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

5646600273600 is a wasteful number, since it uses less digits than its factorization.

5646600273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45066 (or 45048 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 5646600273600 in words is "five trillion, six hundred forty-six billion, six hundred million, two hundred seventy-three thousand, six hundred".