6107958144 has 128 divisors (see below), whose sum is σ = 18143392800. Its totient is φ = 2022838272.

The previous prime is 6107958137. The next prime is 6107958167. The reversal of 6107958144 is 4418597016.

6107958144 is a `hidden beast` number, since 61 + 0 + 7 + 9 + 581 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 6107958144.

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, 536964 + ... + 548220.

Almost surely, 2^6107958144 is an apocalyptic number.

6107958144 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 6107958144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9071696400).

6107958144 is an abundant number, since it is smaller than the sum of its proper divisors (12035434656).

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

6107958144 is a wasteful number, since it uses less digits than its factorization.

6107958144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11437 (or 11419 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 6107958144 is about 78153.4269498146. The cubic root of 6107958144 is about 1827.9543709991.

The spelling of 6107958144 in words is "six billion, one hundred seven million, nine hundred fifty-eight thousand, one hundred forty-four".