6397009920 has 672 divisors, whose sum is σ = 26416211328. Its totient is φ = 1401421824.

The previous prime is 6397009919. The next prime is 6397009933. The reversal of 6397009920 is 299007936.

6397009920 is a `hidden beast` number, since 639 + 7 + 0 + 0 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95477727 + ... + 95477793.

Almost surely, 2^6397009920 is an apocalyptic number.

6397009920 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 6397009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208105664).

6397009920 is an abundant number, since it is smaller than the sum of its proper divisors (20019201408).

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

6397009920 is a wasteful number, since it uses less digits than its factorization.

6397009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 6397009920 is about 79981.3098167316. The cubic root of 6397009920 is about 1856.3463483643.

The spelling of 6397009920 in words is "six billion, three hundred ninety-seven million, nine thousand, nine hundred twenty".