7726227138560 has 192 divisors, whose sum is σ = 21191094288000. Its totient is φ = 2648450727936.

The previous prime is 7726227138551. The next prime is 7726227138563. The reversal of 7726227138560 is 658317226277.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 7726227138496 and 7726227138505.

It is not an unprimeable number, because it can be changed into a prime (7726227138563) 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, 525622091 + ... + 525636789.

It is an arithmetic number, because the mean of its divisors is an integer number (110370282750).

Almost surely, 2^{7726227138560} is an apocalyptic number.

7726227138560 is a gapful number since it is divisible by the number (70) 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 7726227138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10595547144000).

7726227138560 is an abundant number, since it is smaller than the sum of its proper divisors (13464867149440).

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

7726227138560 is a wasteful number, since it uses less digits than its factorization.

7726227138560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22066 (or 22046 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 56.

The spelling of 7726227138560 in words is "seven trillion, seven hundred twenty-six billion, two hundred twenty-seven million, one hundred thirty-eight thousand, five hundred sixty".