6383456640 has 768 divisors, whose sum is σ = 25786252800. Its totient is φ = 1490227200.

The previous prime is 6383456627. The next prime is 6383456647. The reversal of 6383456640 is 466543836.

6383456640 is a `hidden beast` number, since 6 + 3 + 83 + 4 + 566 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6383456647) by changing a digit.

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, 89907805 + ... + 89907875.

It is an arithmetic number, because the mean of its divisors is an integer number (33575850).

Almost surely, 2^6383456640 is an apocalyptic number.

6383456640 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 6383456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12893126400).

6383456640 is an abundant number, since it is smaller than the sum of its proper divisors (19402796160).

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

6383456640 is a wasteful number, since it uses less digits than its factorization.

6383456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The square root of 6383456640 is about 79896.5370964224. The cubic root of 6383456640 is about 1855.0344140103.

The spelling of 6383456640 in words is "six billion, three hundred eighty-three million, four hundred fifty-six thousand, six hundred forty".