6109447680 has 960 divisors, whose sum is σ = 26596297728. Its totient is φ = 1313832960.

The previous prime is 6109447651. The next prime is 6109447693. The reversal of 6109447680 is 867449016.

6109447680 is a `hidden beast` number, since 6 + 10 + 94 + 476 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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, 100154850 + ... + 100154910.

Almost surely, 2^6109447680 is an apocalyptic number.

6109447680 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 6109447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13298148864).

6109447680 is an abundant number, since it is smaller than the sum of its proper divisors (20486850048).

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

6109447680 is an equidigital number, since it uses as much as digits as its factorization.

6109447680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6109447680 is about 78162.9559318223. The cubic root of 6109447680 is about 1828.1029521601.

The spelling of 6109447680 in words is "six billion, one hundred nine million, four hundred forty-seven thousand, six hundred eighty".