6105496320 has 432 divisors, whose sum is σ = 26340717312. Its totient is φ = 1268490240.

The previous prime is 6105496223. The next prime is 6105496339. The reversal of 6105496320 is 236945016.

It is a happy number.

6105496320 is a `hidden beast` number, since 6 + 10 + 5 + 4 + 9 + 632 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 883599 + ... + 890481.

Almost surely, 2^6105496320 is an apocalyptic number.

6105496320 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 6105496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13170358656).

6105496320 is an abundant number, since it is smaller than the sum of its proper divisors (20235220992).

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

6105496320 is a wasteful number, since it uses less digits than its factorization.

6105496320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6928 (or 6911 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6105496320 is about 78137.6754197359. The cubic root of 6105496320 is about 1827.7087511830.

The spelling of 6105496320 in words is "six billion, one hundred five million, four hundred ninety-six thousand, three hundred twenty".