6865498400 has 72 divisors (see below), whose sum is σ = 16789550400. Its totient is φ = 2741423360.

The previous prime is 6865498391. The next prime is 6865498403. The reversal of 6865498400 is 48945686.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (6865498403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 472037 + ... + 486363.

It is an arithmetic number, because the mean of its divisors is an integer number (233188200).

Almost surely, 2^6865498400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6865498400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8394775200).

6865498400 is an abundant number, since it is smaller than the sum of its proper divisors (9924052000).

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

6865498400 is a wasteful number, since it uses less digits than its factorization.

6865498400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14946 (or 14933 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 50.

The square root of 6865498400 is about 82858.3031445853. The cubic root of 6865498400 is about 1900.5998475371.

The spelling of 6865498400 in words is "six billion, eight hundred sixty-five million, four hundred ninety-eight thousand, four hundred".