6736180640 has 192 divisors, whose sum is σ = 19323360000. Its totient is φ = 2166276096.

The previous prime is 6736180601. The next prime is 6736180643. The reversal of 6736180640 is 460816376.

It is a super-2 number, since 2×6736180640² = 90752259229421619200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6736180643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9500606 + ... + 9501314.

It is an arithmetic number, because the mean of its divisors is an integer number (100642500).

Almost surely, 2^6736180640 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 6736180640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9661680000).

6736180640 is an abundant number, since it is smaller than the sum of its proper divisors (12587179360).

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

6736180640 is a wasteful number, since it uses less digits than its factorization.

6736180640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 6736180640 is about 82074.2385892187. The cubic root of 6736180640 is about 1888.5909675668.

The spelling of 6736180640 in words is "six billion, seven hundred thirty-six million, one hundred eighty thousand, six hundred forty".