6420293760 has 256 divisors, whose sum is σ = 21498825600. Its totient is φ = 1627422720.

The previous prime is 6420293699. The next prime is 6420293773. The reversal of 6420293760 is 673920246.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3729700 + ... + 3731420.

Almost surely, 2^6420293760 is an apocalyptic number.

6420293760 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 6420293760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10749412800).

6420293760 is an abundant number, since it is smaller than the sum of its proper divisors (15078531840).

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

6420293760 is a wasteful number, since it uses less digits than its factorization.

6420293760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 6420293760 is about 80126.7356130274. The cubic root of 6420293760 is about 1858.5958647690.

The spelling of 6420293760 in words is "six billion, four hundred twenty million, two hundred ninety-three thousand, seven hundred sixty".