6874914816 has 504 divisors, whose sum is σ = 25347908664. Its totient is φ = 1775370240.

The previous prime is 6874914803. The next prime is 6874914829. The reversal of 6874914816 is 6184194786.

6874914816 is a `hidden beast` number, since 6 + 8 + 74 + 91 + 481 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6874914803) and next prime (6874914829).

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39739306 + ... + 39739478.

Almost surely, 2^6874914816 is an apocalyptic number.

6874914816 is a gapful number since it is divisible by the number (66) 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 6874914816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12673954332).

6874914816 is an abundant number, since it is smaller than the sum of its proper divisors (18472993848).

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

6874914816 is a wasteful number, since it uses less digits than its factorization.

6874914816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 196 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 6874914816 is about 82915.1060784463. The cubic root of 6874914816 is about 1901.4683769979.

The spelling of 6874914816 in words is "six billion, eight hundred seventy-four million, nine hundred fourteen thousand, eight hundred sixteen".