6343729920 has 864 divisors, whose sum is σ = 26032547520. Its totient is φ = 1459814400.

The previous prime is 6343729871. The next prime is 6343729949. The reversal of 6343729920 is 299273436.

6343729920 is a `hidden beast` number, since 634 + 3 + 7 + 2 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154725100 + ... + 154725140.

Almost surely, 2^6343729920 is an apocalyptic number.

6343729920 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 6343729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13016273760).

6343729920 is an abundant number, since it is smaller than the sum of its proper divisors (19688817600).

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

6343729920 is a wasteful number, since it uses less digits than its factorization.

6343729920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 6343729920 is about 79647.5355550942. The cubic root of 6343729920 is about 1851.1782044358.

The spelling of 6343729920 in words is "six billion, three hundred forty-three million, seven hundred twenty-nine thousand, nine hundred twenty".