6391465920 has 672 divisors, whose sum is σ = 27130613760. Its totient is φ = 1410877440.

The previous prime is 6391465909. The next prime is 6391465981. The reversal of 6391465920 is 295641936.

6391465920 is a `hidden beast` number, since 639 + 1 + 4 + 6 + 5 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13123917 + ... + 13124403.

Almost surely, 2^6391465920 is an apocalyptic number.

6391465920 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 6391465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13565306880).

6391465920 is an abundant number, since it is smaller than the sum of its proper divisors (20739147840).

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

6391465920 is a wasteful number, since it uses less digits than its factorization.

6391465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 6391465920 is about 79946.6442072461. The cubic root of 6391465920 is about 1855.8099228154.

The spelling of 6391465920 in words is "six billion, three hundred ninety-one million, four hundred sixty-five thousand, nine hundred twenty".