6382761840 has 480 divisors, whose sum is σ = 26831366016. Its totient is φ = 1323786240.

The previous prime is 6382761839. The next prime is 6382761851. The reversal of 6382761840 is 481672836.

6382761840 is a `hidden beast` number, since 6 + 3 + 8 + 27 + 618 + 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3995922 + ... + 3997518.

Almost surely, 2^6382761840 is an apocalyptic number.

6382761840 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 6382761840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13415683008).

6382761840 is an abundant number, since it is smaller than the sum of its proper divisors (20448604176).

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

6382761840 is a wasteful number, since it uses less digits than its factorization.

6382761840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6382761840 is about 79892.1888547310. The cubic root of 6382761840 is about 1854.9671085388.

The spelling of 6382761840 in words is "six billion, three hundred eighty-two million, seven hundred sixty-one thousand, eight hundred forty".