6797952000 has 704 divisors, whose sum is σ = 28816519680. Its totient is φ = 1548288000.

The previous prime is 6797951999. The next prime is 6797952017. The reversal of 6797952000 is 2597976.

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

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, 24191860 + ... + 24192140.

Almost surely, 2^6797952000 is an apocalyptic number.

6797952000 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 6797952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14408259840).

6797952000 is an abundant number, since it is smaller than the sum of its proper divisors (22018567680).

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

6797952000 is a wasteful number, since it uses less digits than its factorization.

6797952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 6797952000 is about 82449.6937532214. The cubic root of 6797952000 is about 1894.3462586715.

The spelling of 6797952000 in words is "six billion, seven hundred ninety-seven million, nine hundred fifty-two thousand".