6860878464 has 128 divisors (see below), whose sum is σ = 20566872000. Its totient is φ = 2007326720.

The previous prime is 6860878463. The next prime is 6860878471. The reversal of 6860878464 is 4648780686.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (6860878463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94492 + ... + 150500.

Almost surely, 2^6860878464 is an apocalyptic number.

6860878464 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 6860878464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10283436000).

6860878464 is an abundant number, since it is smaller than the sum of its proper divisors (13705993536).

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

6860878464 is a wasteful number, since it uses less digits than its factorization.

6860878464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56066 (or 56054 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The square root of 6860878464 is about 82830.4199192543. The cubic root of 6860878464 is about 1900.1734342144.

The spelling of 6860878464 in words is "six billion, eight hundred sixty million, eight hundred seventy-eight thousand, four hundred sixty-four".