6228673605120 has 160 divisors (see below), whose sum is σ = 19919734876800. Its totient is φ = 1660358696960.

The previous prime is 6228673605107. The next prime is 6228673605139. The reversal of 6228673605120 is 215063768226.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6228673605120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20578075 + ... + 20878565.

It is an arithmetic number, because the mean of its divisors is an integer number (124498342980).

Almost surely, 2^{6228673605120} is an apocalyptic number.

6228673605120 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 6228673605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9959867438400).

6228673605120 is an abundant number, since it is smaller than the sum of its proper divisors (13691061271680).

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

6228673605120 is a wasteful number, since it uses less digits than its factorization.

6228673605120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303216 (or 303200 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 6228673605120 in words is "six trillion, two hundred twenty-eight billion, six hundred seventy-three million, six hundred five thousand, one hundred twenty".