5662752768 has 300 divisors, whose sum is σ = 17984364552. Its totient is φ = 1769472000.

The previous prime is 5662752757. The next prime is 5662752769. The reversal of 5662752768 is 8672572665.

5662752768 is a `hidden beast` number, since 5 + 6 + 627 + 5 + 2 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×5662752768² = 64133537822983323648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5662752769) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22560643 + ... + 22560893.

Almost surely, 2^5662752768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5662752768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8992182276).

5662752768 is an abundant number, since it is smaller than the sum of its proper divisors (12321611784).

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

5662752768 is an equidigital number, since it uses as much as digits as its factorization.

5662752768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 273 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The square root of 5662752768 is about 75251.2642285829. The cubic root of 5662752768 is about 1782.4165267869.

The spelling of 5662752768 in words is "five billion, six hundred sixty-two million, seven hundred fifty-two thousand, seven hundred sixty-eight".