6878974464 has 160 divisors (see below), whose sum is σ = 21065616000. Its totient is φ = 2213793792.

The previous prime is 6878974457. The next prime is 6878974499. The reversal of 6878974464 is 4644798786.

6878974464 is a `hidden beast` number, since 6 + 87 + 8 + 97 + 4 + 464 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392317 + ... + 409475.

It is an arithmetic number, because the mean of its divisors is an integer number (131660100).

Almost surely, 2^6878974464 is an apocalyptic number.

6878974464 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 6878974464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10532808000).

6878974464 is an abundant number, since it is smaller than the sum of its proper divisors (14186641536).

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

6878974464 is a wasteful number, since it uses less digits than its factorization.

6878974464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17215 (or 17193 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The square root of 6878974464 is about 82939.5832157360. The cubic root of 6878974464 is about 1901.8425767071.

The spelling of 6878974464 in words is "six billion, eight hundred seventy-eight million, nine hundred seventy-four thousand, four hundred sixty-four".