6722790480 has 640 divisors, whose sum is σ = 27765365760. Its totient is φ = 1463132160.

The previous prime is 6722790449. The next prime is 6722790511. The reversal of 6722790480 is 840972276.

6722790480 is a `hidden beast` number, since 67 + 2 + 27 + 90 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (6722790449) and next prime (6722790511).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34125742 + ... + 34125938.

It is an arithmetic number, because the mean of its divisors is an integer number (43383384).

Almost surely, 2^6722790480 is an apocalyptic number.

6722790480 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 6722790480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13882682880).

6722790480 is an abundant number, since it is smaller than the sum of its proper divisors (21042575280).

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

6722790480 is a wasteful number, since it uses less digits than its factorization.

6722790480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 6722790480 is about 81992.6245463578. The cubic root of 6722790480 is about 1887.3387589701.

The spelling of 6722790480 in words is "six billion, seven hundred twenty-two million, seven hundred ninety thousand, four hundred eighty".