6226177382880 has 1536 divisors, whose sum is σ = 25228934148096. Its totient is φ = 1256063238144.

The previous prime is 6226177382863. The next prime is 6226177382899. The reversal of 6226177382880 is 882837716226.

It is a super-2 number, since 2×6226177382880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21249752014 + ... + 21249752306.

It is an arithmetic number, because the mean of its divisors is an integer number (16425087336).

Almost surely, 2^{6226177382880} is an apocalyptic number.

6226177382880 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 6226177382880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12614467074048).

6226177382880 is an abundant number, since it is smaller than the sum of its proper divisors (19002756765216).

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

6226177382880 is a wasteful number, since it uses less digits than its factorization.

6226177382880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 60.

The spelling of 6226177382880 in words is "six trillion, two hundred twenty-six billion, one hundred seventy-seven million, three hundred eighty-two thousand, eight hundred eighty".