6339734797968 has 960 divisors, whose sum is σ = 22334026530816. Its totient is φ = 1652120064000.

The previous prime is 6339734797961. The next prime is 6339734798017. The reversal of 6339734797968 is 8697974379336.

6339734797968 is a `hidden beast` number, since 6 + 3 + 3 + 9 + 73 + 479 + 79 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (6339734797961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1948887030 + ... + 1948890282.

Almost surely, 2^{6339734797968} 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 6339734797968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11167013265408).

6339734797968 is an abundant number, since it is smaller than the sum of its proper divisors (15994291732848).

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

6339734797968 is a wasteful number, since it uses less digits than its factorization.

6339734797968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436 (or 3427 counting only the distinct ones).

The product of its digits is 7777461888, while the sum is 81.

The spelling of 6339734797968 in words is "six trillion, three hundred thirty-nine billion, seven hundred thirty-four million, seven hundred ninety-seven thousand, nine hundred sixty-eight".