6921661296 has 80 divisors (see below), whose sum is σ = 19570497408. Its totient is φ = 2090592000.

The previous prime is 6921661289. The next prime is 6921661339.

6921661296 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140746 + ... + 183446.

Almost surely, 2^6921661296 is an apocalyptic number.

6921661296 is a gapful number since it is divisible by the number (66) 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 6921661296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9785248704).

6921661296 is an abundant number, since it is smaller than the sum of its proper divisors (12648836112).

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

6921661296 is a wasteful number, since it uses less digits than its factorization.

6921661296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43030 (or 43024 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 6921661296 is about 83196.5221388490. The cubic root of 6921661296 is about 1905.7683695077.

The spelling of 6921661296 in words is "six billion, nine hundred twenty-one million, six hundred sixty-one thousand, two hundred ninety-six".