6126218880 has 128 divisors (see below), whose sum is σ = 19747281600. Its totient is φ = 1615257600.

The previous prime is 6126218831. The next prime is 6126218881. The reversal of 6126218880 is 888126216.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (6126218881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152955 + ... + 188805.

Almost surely, 2^6126218880 is an apocalyptic number.

6126218880 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 6126218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9873640800).

6126218880 is an abundant number, since it is smaller than the sum of its proper divisors (13621062720).

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

6126218880 is a wasteful number, since it uses less digits than its factorization.

6126218880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35962 (or 35950 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 6126218880 is about 78270.1659637949. The cubic root of 6126218880 is about 1829.7742144322.

The spelling of 6126218880 in words is "six billion, one hundred twenty-six million, two hundred eighteen thousand, eight hundred eighty".