6382083960 has 384 divisors, whose sum is σ = 24861957120. Its totient is φ = 1442230272.

The previous prime is 6382083941. The next prime is 6382083971. The reversal of 6382083960 is 693802836.

6382083960 is a `hidden beast` number, since 638 + 2 + 0 + 8 + 3 + 9 + 6 + 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6599397 + ... + 6600363.

It is an arithmetic number, because the mean of its divisors is an integer number (64744680).

Almost surely, 2^6382083960 is an apocalyptic number.

6382083960 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 6382083960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12430978560).

6382083960 is an abundant number, since it is smaller than the sum of its proper divisors (18479873160).

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

6382083960 is a wasteful number, since it uses less digits than its factorization.

6382083960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 6382083960 is about 79887.9462747666. The cubic root of 6382083960 is about 1854.9014374050.

The spelling of 6382083960 in words is "six billion, three hundred eighty-two million, eighty-three thousand, nine hundred sixty".