6322567680 has 960 divisors, whose sum is σ = 27346999680. Its totient is φ = 1327104000.

The previous prime is 6322567663. The next prime is 6322567723. The reversal of 6322567680 is 867652236.

It is a happy number.

6322567680 is a `hidden beast` number, since 6 + 3 + 2 + 2 + 567 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62599630 + ... + 62599730.

It is an arithmetic number, because the mean of its divisors is an integer number (28486458).

Almost surely, 2^6322567680 is an apocalyptic number.

6322567680 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 6322567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13673499840).

6322567680 is an abundant number, since it is smaller than the sum of its proper divisors (21024432000).

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

6322567680 is a wasteful number, since it uses less digits than its factorization.

6322567680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 6322567680 is about 79514.5752676828. The cubic root of 6322567680 is about 1849.1174441457.

It can be divided in two parts, 632256 and 7680, that added together give a palindrome (639936).

The spelling of 6322567680 in words is "six billion, three hundred twenty-two million, five hundred sixty-seven thousand, six hundred eighty".