6792552000 has 896 divisors, whose sum is σ = 27958694400. Its totient is φ = 1603584000.

The previous prime is 6792551963. The next prime is 6792552017. The reversal of 6792552000 is 2552976.

It is a super-2 number, since 2×6792552000² = 92277525345408000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 115127971 + ... + 115128029.

It is an arithmetic number, because the mean of its divisors is an integer number (31203900).

Almost surely, 2^6792552000 is an apocalyptic number.

6792552000 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 6792552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13979347200).

6792552000 is an abundant number, since it is smaller than the sum of its proper divisors (21166142400).

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

6792552000 is a wasteful number, since it uses less digits than its factorization.

6792552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 6792552000 is about 82416.9400062875. The cubic root of 6792552000 is about 1893.8445301308.

The spelling of 6792552000 in words is "six billion, seven hundred ninety-two million, five hundred fifty-two thousand".