6320991744 has 480 divisors, whose sum is σ = 20784741120. Its totient is φ = 1839366144.

The previous prime is 6320991713. The next prime is 6320991751. The reversal of 6320991744 is 4471990236.

It is a happy number.

6320991744 is a `hidden beast` number, since 632 + 0 + 9 + 9 + 1 + 7 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6320991744.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86588892 + ... + 86588964.

It is an arithmetic number, because the mean of its divisors is an integer number (43301544).

Almost surely, 2^6320991744 is an apocalyptic number.

6320991744 is a gapful number since it is divisible by the number (64) 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 6320991744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10392370560).

6320991744 is an abundant number, since it is smaller than the sum of its proper divisors (14463749376).

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

6320991744 is a wasteful number, since it uses less digits than its factorization.

6320991744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 6320991744 is about 79504.6649197391. The cubic root of 6320991744 is about 1848.9637970280.

The spelling of 6320991744 in words is "six billion, three hundred twenty million, nine hundred ninety-one thousand, seven hundred forty-four".