6436792320 has 384 divisors, whose sum is σ = 24200467200. Its totient is φ = 1429733376.

The previous prime is 6436792277. The next prime is 6436792321. The reversal of 6436792320 is 232976346.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6436792321) 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, 7956076 + ... + 7956884.

It is an arithmetic number, because the mean of its divisors is an integer number (63022050).

Almost surely, 2^6436792320 is an apocalyptic number.

6436792320 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 6436792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12100233600).

6436792320 is an abundant number, since it is smaller than the sum of its proper divisors (17763674880).

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

6436792320 is a wasteful number, since it uses less digits than its factorization.

6436792320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The square root of 6436792320 is about 80229.6224595380. The cubic root of 6436792320 is about 1860.1865462108.

The spelling of 6436792320 in words is "six billion, four hundred thirty-six million, seven hundred ninety-two thousand, three hundred twenty".