6845018400 has 756 divisors, whose sum is σ = 27822754386. Its totient is φ = 1642291200.

The previous prime is 6845018381. The next prime is 6845018417. The reversal of 6845018400 is 48105486.

It can be written as a sum of positive squares in 3 ways, for example, as 4912888464 + 1932129936 = 70092^2 + 43956^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 70567152 + ... + 70567248.

Almost surely, 2^6845018400 is an apocalyptic number.

6845018400 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 6845018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13911377193).

6845018400 is an abundant number, since it is smaller than the sum of its proper divisors (20977735986).

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

6845018400 is a wasteful number, since it uses less digits than its factorization.

6845018400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 6845018400 is about 82734.6263664737. The cubic root of 6845018400 is about 1898.7081153324.

The spelling of 6845018400 in words is "six billion, eight hundred forty-five million, eighteen thousand, four hundred".