6109044480 has 864 divisors, whose sum is σ = 26998852608. Its totient is φ = 1238630400.

The previous prime is 6109044463. The next prime is 6109044497. The reversal of 6109044480 is 844409016.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6109044463) and next prime (6109044497).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 62979792 + ... + 62979888.

It is an arithmetic number, because the mean of its divisors is an integer number (31248672).

Almost surely, 2^6109044480 is an apocalyptic number.

6109044480 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 6109044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13499426304).

6109044480 is an abundant number, since it is smaller than the sum of its proper divisors (20889808128).

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

6109044480 is a wasteful number, since it uses less digits than its factorization.

6109044480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6109044480 is about 78160.3766623473. The cubic root of 6109044480 is about 1828.0627353591.

It can be divided in two parts, 61090 and 44480, that added together give a triangular number (105570 = T₄₅₉).

The spelling of 6109044480 in words is "six billion, one hundred nine million, forty-four thousand, four hundred eighty".