6109296480 has 960 divisors, whose sum is σ = 27104716800. Its totient is φ = 1280240640.

The previous prime is 6109296463. The next prime is 6109296497. The reversal of 6109296480 is 846929016.

It is a happy number.

6109296480 is a `hidden beast` number, since 610 + 9 + 29 + 6 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6109296463) and next prime (6109296497).

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 159 ways as a sum of consecutive naturals, for example, 197074065 + ... + 197074095.

It is an arithmetic number, because the mean of its divisors is an integer number (28234080).

Almost surely, 2^6109296480 is an apocalyptic number.

6109296480 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 6109296480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13552358400).

6109296480 is an abundant number, since it is smaller than the sum of its proper divisors (20995420320).

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

6109296480 is a wasteful number, since it uses less digits than its factorization.

6109296480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 6109296480 is about 78161.9887157434. The cubic root of 6109296480 is about 1828.0878710671.

The spelling of 6109296480 in words is "six billion, one hundred nine million, two hundred ninety-six thousand, four hundred eighty".