6968553984 has 640 divisors, whose sum is σ = 25644072960. Its totient is φ = 1824768000.

The previous prime is 6968553973. The next prime is 6968554001. The reversal of 6968553984 is 4893558696.

6968553984 is a `hidden beast` number, since 6 + 96 + 8 + 5 + 539 + 8 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68995534 + ... + 68995634.

It is an arithmetic number, because the mean of its divisors is an integer number (40068864).

Almost surely, 2^6968553984 is an apocalyptic number.

6968553984 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 6968553984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12822036480).

6968553984 is an abundant number, since it is smaller than the sum of its proper divisors (18675518976).

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

6968553984 is a wasteful number, since it uses less digits than its factorization.

6968553984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 167 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The square root of 6968553984 is about 83477.8652338451. The cubic root of 6968553984 is about 1910.0624034142.

The spelling of 6968553984 in words is "six billion, nine hundred sixty-eight million, five hundred fifty-three thousand, nine hundred eighty-four".