6399545760 has 432 divisors, whose sum is σ = 23652615168. Its totient is φ = 1573862400.

The previous prime is 6399545741. The next prime is 6399545809. The reversal of 6399545760 is 675459936.

6399545760 is a `hidden beast` number, since 6 + 3 + 99 + 545 + 7 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6399545697 and 6399545706.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23614425 + ... + 23614695.

It is an arithmetic number, because the mean of its divisors is an integer number (54751424).

Almost surely, 2^6399545760 is an apocalyptic number.

6399545760 is a gapful number since it is divisible by the number (60) 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 6399545760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11826307584).

6399545760 is an abundant number, since it is smaller than the sum of its proper divisors (17253069408).

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

6399545760 is a wasteful number, since it uses less digits than its factorization.

6399545760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The square root of 6399545760 is about 79997.1609496237. The cubic root of 6399545760 is about 1856.5916075036.

The spelling of 6399545760 in words is "six billion, three hundred ninety-nine million, five hundred forty-five thousand, seven hundred sixty".