6984868464 has 400 divisors, whose sum is σ = 24846624000. Its totient is φ = 1888354944.

The previous prime is 6984868453. The next prime is 6984868469. The reversal of 6984868464 is 4648684896.

6984868464 is a `hidden beast` number, since 6 + 98 + 4 + 86 + 8 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6984868469) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8445619 + ... + 8446445.

It is an arithmetic number, because the mean of its divisors is an integer number (62116560).

Almost surely, 2^6984868464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6984868464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12423312000).

6984868464 is an abundant number, since it is smaller than the sum of its proper divisors (17861755536).

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

6984868464 is a wasteful number, since it uses less digits than its factorization.

6984868464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 858 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The square root of 6984868464 is about 83575.5255083688. The cubic root of 6984868464 is about 1911.5518271122.

The spelling of 6984868464 in words is "six billion, nine hundred eighty-four million, eight hundred sixty-eight thousand, four hundred sixty-four".