6105996864 has 672 divisors, whose sum is σ = 21890736000. Its totient is φ = 1660538880.

The previous prime is 6105996863. The next prime is 6105996877. The reversal of 6105996864 is 4686995016.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6105996864.

It is not an unprimeable number, because it can be changed into a prime (6105996863) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115207462 + ... + 115207514.

It is an arithmetic number, because the mean of its divisors is an integer number (32575500).

Almost surely, 2^6105996864 is an apocalyptic number.

6105996864 is a gapful number since it is divisible by the number (64) 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 6105996864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10945368000).

6105996864 is an abundant number, since it is smaller than the sum of its proper divisors (15784739136).

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

6105996864 is a wasteful number, since it uses less digits than its factorization.

6105996864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 6105996864 is about 78140.8783160261. The cubic root of 6105996864 is about 1827.7586965438.

The spelling of 6105996864 in words is "six billion, one hundred five million, nine hundred ninety-six thousand, eight hundred sixty-four".