6301906944 has 192 divisors, whose sum is σ = 17590154400. Its totient is φ = 2003828736.

The previous prime is 6301906913. The next prime is 6301906967. The reversal of 6301906944 is 4496091036.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×6301906944² = 79428062261670838272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6301906896 and 6301906905.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20133732 + ... + 20134044.

Almost surely, 2^6301906944 is an apocalyptic number.

6301906944 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 6301906944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8795077200).

6301906944 is an abundant number, since it is smaller than the sum of its proper divisors (11288247456).

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

6301906944 is a wasteful number, since it uses less digits than its factorization.

6301906944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 6301906944 is about 79384.5510411188. The cubic root of 6301906944 is about 1847.1010788980.

The spelling of 6301906944 in words is "six billion, three hundred one million, nine hundred six thousand, nine hundred forty-four".