6897273600 has 864 divisors, whose sum is σ = 28508730880. Its totient is φ = 1433272320.

The previous prime is 6897273589. The next prime is 6897273601. The reversal of 6897273600 is 63727986.

It is a super-2 number, since 2×6897273600² = 95144766226513920000, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6897273600.

It is not an unprimeable number, because it can be changed into a prime (6897273601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94483164 + ... + 94483236.

Almost surely, 2^6897273600 is an apocalyptic number.

6897273600 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 6897273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14254365440).

6897273600 is an abundant number, since it is smaller than the sum of its proper divisors (21611457280).

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

6897273600 is a wasteful number, since it uses less digits than its factorization.

6897273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 6897273600 is about 83049.8260082464. The cubic root of 6897273600 is about 1903.5274820193.

The spelling of 6897273600 in words is "six billion, eight hundred ninety-seven million, two hundred seventy-three thousand, six hundred".