6986868400 has 60 divisors (see below), whose sum is σ = 16795389312. Its totient is φ = 2793176320.

The previous prime is 6986868391. The next prime is 6986868407. The reversal of 6986868400 is 48686896.

It is a happy number.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6986868407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 929457 + ... + 936943.

Almost surely, 2^6986868400 is an apocalyptic number.

It is an amenable number.

6986868400 is an abundant number, since it is smaller than the sum of its proper divisors (9808520912).

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

6986868400 is a wasteful number, since it uses less digits than its factorization.

6986868400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9838 (or 9827 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 55.

The square root of 6986868400 is about 83587.4894945410. The cubic root of 6986868400 is about 1911.7342508052.

The spelling of 6986868400 in words is "six billion, nine hundred eighty-six million, eight hundred sixty-eight thousand, four hundred".