6343945920 has 560 divisors, whose sum is σ = 24752917728. Its totient is φ = 1532805120.

The previous prime is 6343945877. The next prime is 6343945991. The reversal of 6343945920 is 295493436.

6343945920 is a `hidden beast` number, since 634 + 3 + 9 + 4 + 5 + 9 + 2 + 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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22576180 + ... + 22576460.

Almost surely, 2^6343945920 is an apocalyptic number.

6343945920 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 6343945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12376458864).

6343945920 is an abundant number, since it is smaller than the sum of its proper divisors (18408971808).

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

6343945920 is a wasteful number, since it uses less digits than its factorization.

6343945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 6343945920 is about 79648.8915177104. The cubic root of 6343945920 is about 1851.1992146805.

The spelling of 6343945920 in words is "six billion, three hundred forty-three million, nine hundred forty-five thousand, nine hundred twenty".