6865273800 has 1152 divisors, whose sum is σ = 31664640000. Its totient is φ = 1334361600.

The previous prime is 6865273771. The next prime is 6865273813. The reversal of 6865273800 is 83725686.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 287 ways as a sum of consecutive naturals, for example, 86902161 + ... + 86902239.

Almost surely, 2^6865273800 is an apocalyptic number.

6865273800 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 6865273800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15832320000).

6865273800 is an abundant number, since it is smaller than the sum of its proper divisors (24799366200).

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

6865273800 is a wasteful number, since it uses less digits than its factorization.

6865273800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6865273800 is about 82856.9478076522. The cubic root of 6865273800 is about 1900.5791217109.

The spelling of 6865273800 in words is "six billion, eight hundred sixty-five million, two hundred seventy-three thousand, eight hundred".