6399834960 has 320 divisors, whose sum is σ = 21565619712. Its totient is φ = 1564213248.

The previous prime is 6399834937. The next prime is 6399834971. The reversal of 6399834960 is 694389936.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6399834960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40763202 + ... + 40763358.

Almost surely, 2^6399834960 is an apocalyptic number.

6399834960 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 6399834960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10782809856).

6399834960 is an abundant number, since it is smaller than the sum of its proper divisors (15165784752).

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

6399834960 is a wasteful number, since it uses less digits than its factorization.

6399834960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 57.

The square root of 6399834960 is about 79998.9684933500. The cubic root of 6399834960 is about 1856.6195739783.

The spelling of 6399834960 in words is "six billion, three hundred ninety-nine million, eight hundred thirty-four thousand, nine hundred sixty".