6792271200 has 720 divisors, whose sum is σ = 29140228656. Its totient is φ = 1517875200.

The previous prime is 6792271193. The next prime is 6792271231. The reversal of 6792271200 is 21722976.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×6792271200² = 92269896108698880000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9266034 + ... + 9266766.

Almost surely, 2^6792271200 is an apocalyptic number.

6792271200 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 6792271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14570114328).

6792271200 is an abundant number, since it is smaller than the sum of its proper divisors (22347957456).

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

6792271200 is a wasteful number, since it uses less digits than its factorization.

6792271200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 6792271200 is about 82415.2364554031. The cubic root of 6792271200 is about 1893.8184329746.

The spelling of 6792271200 in words is "six billion, seven hundred ninety-two million, two hundred seventy-one thousand, two hundred".