6398086464 has 336 divisors, whose sum is σ = 23019325056. Its totient is φ = 1650585600.

The previous prime is 6398086427. The next prime is 6398086483. The reversal of 6398086464 is 4646808936.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 6398086464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8027314 + ... + 8028110.

It is an arithmetic number, because the mean of its divisors is an integer number (68509896).

Almost surely, 2^6398086464 is an apocalyptic number.

6398086464 is a gapful number since it is divisible by the number (64) 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 6398086464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11509662528).

6398086464 is an abundant number, since it is smaller than the sum of its proper divisors (16621238592).

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

6398086464 is a wasteful number, since it uses less digits than its factorization.

6398086464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The square root of 6398086464 is about 79988.0395059161. The cubic root of 6398086464 is about 1856.4504765144.

The spelling of 6398086464 in words is "six billion, three hundred ninety-eight million, eighty-six thousand, four hundred sixty-four".