6985040832 has 672 divisors, whose sum is σ = 27337390080. Its totient is φ = 1713208320.

The previous prime is 6985040831. The next prime is 6985040837. The reversal of 6985040832 is 2380405896.

6985040832 is a `hidden beast` number, since 69 + 8 + 504 + 0 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6985040831) 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 95 ways as a sum of consecutive naturals, for example, 22752423 + ... + 22752729.

It is an arithmetic number, because the mean of its divisors is an integer number (40680640).

Almost surely, 2^6985040832 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 6985040832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13668695040).

6985040832 is an abundant number, since it is smaller than the sum of its proper divisors (20352349248).

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

6985040832 is a wasteful number, since it uses less digits than its factorization.

6985040832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 6985040832 is about 83576.5567129922. The cubic root of 6985040832 is about 1911.5675509900.

The spelling of 6985040832 in words is "six billion, nine hundred eighty-five million, forty thousand, eight hundred thirty-two".