6334640640 has 480 divisors, whose sum is σ = 24129705600. Its totient is φ = 1587216384.

The previous prime is 6334640579. The next prime is 6334640651. The reversal of 6334640640 is 460464336.

6334640640 is a `hidden beast` number, since 6 + 3 + 3 + 4 + 6 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6334640595 and 6334640604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10575061 + ... + 10575659.

It is an arithmetic number, because the mean of its divisors is an integer number (50270220).

Almost surely, 2^6334640640 is an apocalyptic number.

6334640640 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 6334640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12064852800).

6334640640 is an abundant number, since it is smaller than the sum of its proper divisors (17795064960).

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

6334640640 is an equidigital number, since it uses as much as digits as its factorization.

6334640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 6334640640 is about 79590.4557092118. The cubic root of 6334640640 is about 1850.2936607121.

The spelling of 6334640640 in words is "six billion, three hundred thirty-four million, six hundred forty thousand, six hundred forty".