6736806400 has 120 divisors (see below), whose sum is σ = 16759305684. Its totient is φ = 2683699200.

The previous prime is 6736806397. The next prime is 6736806437. The reversal of 6736806400 is 46086376.

It can be written as a sum of positive squares in 6 ways, for example, as 1132187904 + 5604618496 = 33648^2 + 74864^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3595864 + ... + 3597736.

Almost surely, 2^6736806400 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 6736806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8379652842).

6736806400 is an abundant number, since it is smaller than the sum of its proper divisors (10022499284).

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

6736806400 is a wasteful number, since it uses less digits than its factorization.

6736806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 6736806400 is about 82078.0506591135. The cubic root of 6736806400 is about 1888.6494462089.

The spelling of 6736806400 in words is "six billion, seven hundred thirty-six million, eight hundred six thousand, four hundred".