6622131468960 has 1536 divisors, whose sum is σ = 28659554058240. Its totient is φ = 1394852659200.

The previous prime is 6622131468947. The next prime is 6622131469001. The reversal of 6622131468960 is 698641312266.

6622131468960 is a `hidden beast` number, since 6 + 62 + 2 + 1 + 31 + 468 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6622131468897 and 6622131468906.

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, 6058674174 + ... + 6058675266.

It is an arithmetic number, because the mean of its divisors is an integer number (18658563840).

Almost surely, 2^{6622131468960} is an apocalyptic number.

6622131468960 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 6622131468960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14329777029120).

6622131468960 is an abundant number, since it is smaller than the sum of its proper divisors (22037422589280).

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

6622131468960 is a wasteful number, since it uses less digits than its factorization.

6622131468960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 6622131468960 in words is "six trillion, six hundred twenty-two billion, one hundred thirty-one million, four hundred sixty-eight thousand, nine hundred sixty".