6397920000 has 360 divisors, whose sum is σ = 23658114480. Its totient is φ = 1704960000.

The previous prime is 6397919987. The next prime is 6397920047. The reversal of 6397920000 is 297936.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4319260 + ... + 4320740.

Almost surely, 2^6397920000 is an apocalyptic number.

6397920000 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 6397920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11829057240).

6397920000 is an abundant number, since it is smaller than the sum of its proper divisors (17260194480).

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

6397920000 is an equidigital number, since it uses as much as digits as its factorization.

6397920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 6397920000 is about 79986.9989435783. The cubic root of 6397920000 is about 1856.4343761354.

The spelling of 6397920000 in words is "six billion, three hundred ninety-seven million, nine hundred twenty thousand".