6865676400 has 240 divisors, whose sum is σ = 24221628288. Its totient is φ = 1648512000.

The previous prime is 6865676383. The next prime is 6865676401. The reversal of 6865676400 is 46765686.

It is a tau number, because it is divible by the number of its divisors (240).

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 6865676400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6865676401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1409970 + ... + 1414830.

Almost surely, 2^6865676400 is an apocalyptic number.

6865676400 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 6865676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12110814144).

6865676400 is an abundant number, since it is smaller than the sum of its proper divisors (17355951888).

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

6865676400 is a wasteful number, since it uses less digits than its factorization.

6865676400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000 (or 4989 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 6865676400 is about 82859.3772605129. The cubic root of 6865676400 is about 1900.6162728486.

The spelling of 6865676400 in words is "six billion, eight hundred sixty-five million, six hundred seventy-six thousand, four hundred".