6117289920 has 672 divisors, whose sum is σ = 25295961600. Its totient is φ = 1327767552.

The previous prime is 6117289859. The next prime is 6117289943. The reversal of 6117289920 is 299827116.

6117289920 is a `hidden beast` number, since 611 + 7 + 2 + 8 + 9 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44009211 + ... + 44009349.

It is an arithmetic number, because the mean of its divisors is an integer number (37642800).

Almost surely, 2^6117289920 is an apocalyptic number.

6117289920 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 6117289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12647980800).

6117289920 is an abundant number, since it is smaller than the sum of its proper divisors (19178671680).

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

6117289920 is a wasteful number, since it uses less digits than its factorization.

6117289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 6117289920 is about 78213.1058071472. The cubic root of 6117289920 is about 1828.8848172877.

The spelling of 6117289920 in words is "six billion, one hundred seventeen million, two hundred eighty-nine thousand, nine hundred twenty".