6996794688 has 448 divisors, whose sum is σ = 23697184000. Its totient is φ = 2018525184.

The previous prime is 6996794653. The next prime is 6996794699. The reversal of 6996794688 is 8864976996.

6996794688 is a `hidden beast` number, since 6 + 9 + 96 + 79 + 468 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 72131856 + ... + 72131952.

It is an arithmetic number, because the mean of its divisors is an integer number (52895500).

Almost surely, 2^6996794688 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 6996794688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11848592000).

6996794688 is an abundant number, since it is smaller than the sum of its proper divisors (16700389312).

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

6996794688 is a wasteful number, since it uses less digits than its factorization.

6996794688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 134 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 72.

The square root of 6996794688 is about 83646.8450570612. The cubic root of 6996794688 is about 1912.6391600393.

The spelling of 6996794688 in words is "six billion, nine hundred ninety-six million, seven hundred ninety-four thousand, six hundred eighty-eight".