6326878464 has 144 divisors (see below), whose sum is σ = 18967502400. Its totient is φ = 2079903744.

The previous prime is 6326878427. The next prime is 6326878471. The reversal of 6326878464 is 4648786236.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6326878464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498307 + ... + 510845.

Almost surely, 2^6326878464 is an apocalyptic number.

6326878464 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 6326878464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9483751200).

6326878464 is an abundant number, since it is smaller than the sum of its proper divisors (12640623936).

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

6326878464 is a wasteful number, since it uses less digits than its factorization.

6326878464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12637 (or 12617 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The square root of 6326878464 is about 79541.6775281990. The cubic root of 6326878464 is about 1849.5375970214.

The spelling of 6326878464 in words is "six billion, three hundred twenty-six million, eight hundred seventy-eight thousand, four hundred sixty-four".