6345990144 has 224 divisors, whose sum is σ = 20257251840. Its totient is φ = 1951727616.

The previous prime is 6345990113. The next prime is 6345990173. The reversal of 6345990144 is 4410995436.

6345990144 is a `hidden beast` number, since 634 + 5 + 9 + 9 + 0 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6345990144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2874289 + ... + 2876495.

It is an arithmetic number, because the mean of its divisors is an integer number (90434160).

Almost surely, 2^6345990144 is an apocalyptic number.

6345990144 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 6345990144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10128625920).

6345990144 is an abundant number, since it is smaller than the sum of its proper divisors (13911261696).

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

6345990144 is a wasteful number, since it uses less digits than its factorization.

6345990144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 6345990144 is about 79661.7232050625. The cubic root of 6345990144 is about 1851.3980320261.

The spelling of 6345990144 in words is "six billion, three hundred forty-five million, nine hundred ninety thousand, one hundred forty-four".