6865146400 has 72 divisors (see below), whose sum is σ = 19153774080. Its totient is φ = 2353762560.

The previous prime is 6865146361. The next prime is 6865146401. The reversal of 6865146400 is 46415686.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (6865146401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 607360 + ... + 618559.

It is an arithmetic number, because the mean of its divisors is an integer number (266024640).

Almost surely, 2^6865146400 is an apocalyptic number.

It is an amenable number.

6865146400 is an abundant number, since it is smaller than the sum of its proper divisors (12288627680).

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

6865146400 is a wasteful number, since it uses less digits than its factorization.

6865146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225946 (or 1225933 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 6865146400 is about 82856.1790091723. The cubic root of 6865146400 is about 1900.5673651864.

The spelling of 6865146400 in words is "six billion, eight hundred sixty-five million, one hundred forty-six thousand, four hundred".