6792984000 has 560 divisors, whose sum is σ = 27443740896. Its totient is φ = 1645056000.

The previous prime is 6792983993. The next prime is 6792984019. The reversal of 6792984000 is 4892976.

It is a happy number.

It is a super-2 number, since 2×6792984000² = 92289263248512000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7127524 + ... + 7128476.

Almost surely, 2^6792984000 is an apocalyptic number.

6792984000 is a gapful number since it is divisible by the number (60) 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 6792984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13721870448).

6792984000 is an abundant number, since it is smaller than the sum of its proper divisors (20650756896).

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

6792984000 is a wasteful number, since it uses less digits than its factorization.

6792984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 6792984000 is about 82419.5607850467. The cubic root of 6792984000 is about 1893.8846781975.

The spelling of 6792984000 in words is "six billion, seven hundred ninety-two million, nine hundred eighty-four thousand".