6931989504 has 352 divisors, whose sum is σ = 23392788480. Its totient is φ = 2007244800.

The previous prime is 6931989503. The next prime is 6931989511. The reversal of 6931989504 is 4059891396.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6931989503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6994449 + ... + 6995439.

Almost surely, 2^6931989504 is an apocalyptic number.

6931989504 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 6931989504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11696394240).

6931989504 is an abundant number, since it is smaller than the sum of its proper divisors (16460798976).

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

6931989504 is a wasteful number, since it uses less digits than its factorization.

6931989504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 6931989504 is about 83258.5701534683. The cubic root of 6931989504 is about 1906.7158005389.

The spelling of 6931989504 in words is "six billion, nine hundred thirty-one million, nine hundred eighty-nine thousand, five hundred four".