6168914640 has 720 divisors, whose sum is σ = 26006692608. Its totient is φ = 1330255872.

The previous prime is 6168914621. The next prime is 6168914669. The reversal of 6168914640 is 464198616.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 84505644 + ... + 84505716.

Almost surely, 2^6168914640 is an apocalyptic number.

6168914640 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 6168914640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13003346304).

6168914640 is an abundant number, since it is smaller than the sum of its proper divisors (19837777968).

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

6168914640 is an equidigital number, since it uses as much as digits as its factorization.

6168914640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6168914640 is about 78542.4384648198. The cubic root of 6168914640 is about 1834.0151560567.

The spelling of 6168914640 in words is "six billion, one hundred sixty-eight million, nine hundred fourteen thousand, six hundred forty".