6397528320 has 216 divisors, whose sum is σ = 22277114496. Its totient is φ = 1695043584.

The previous prime is 6397528289. The next prime is 6397528363. The reversal of 6397528320 is 238257936.

6397528320 is a `hidden beast` number, since 6 + 3 + 97 + 528 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 1876057 + ... + 1879463.

Almost surely, 2^6397528320 is an apocalyptic number.

6397528320 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 6397528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11138557248).

6397528320 is an abundant number, since it is smaller than the sum of its proper divisors (15879586176).

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

6397528320 is a wasteful number, since it uses less digits than its factorization.

6397528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 6397528320 is about 79984.5505082075. The cubic root of 6397528320 is about 1856.3964917888.

The spelling of 6397528320 in words is "six billion, three hundred ninety-seven million, five hundred twenty-eight thousand, three hundred twenty".