6399617760 has 384 divisors, whose sum is σ = 23439144960. Its totient is φ = 1629186048.

The previous prime is 6399617747. The next prime is 6399617767. The reversal of 6399617760 is 677169936.

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

It is a junction number, because it is equal to n+sod(n) for n = 6399617697 and 6399617706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6399617767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8730354 + ... + 8731086.

It is an arithmetic number, because the mean of its divisors is an integer number (61039440).

Almost surely, 2^6399617760 is an apocalyptic number.

6399617760 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 6399617760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11719572480).

6399617760 is an abundant number, since it is smaller than the sum of its proper divisors (17039527200).

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

6399617760 is a wasteful number, since it uses less digits than its factorization.

6399617760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 6399617760 is about 79997.6109643282. The cubic root of 6399617760 is about 1856.5985701901.

The spelling of 6399617760 in words is "six billion, three hundred ninety-nine million, six hundred seventeen thousand, seven hundred sixty".