6722359223040 has 288 divisors, whose sum is σ = 25110569433600. Its totient is φ = 1698280058880.

The previous prime is 6722359223029. The next prime is 6722359223051. The reversal of 6722359223040 is 403229532276.

6722359223040 is a `hidden beast` number, since 6 + 7 + 2 + 23 + 592 + 2 + 30 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6722359223029) and next prime (6722359223051).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6722359223040² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4462116 + ... + 5775395.

It is an arithmetic number, because the mean of its divisors is an integer number (87189477200).

Almost surely, 2^{6722359223040} is an apocalyptic number.

6722359223040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6722359223040 is an abundant number, since it is smaller than the sum of its proper divisors (18388210210560).

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

6722359223040 is a wasteful number, since it uses less digits than its factorization.

6722359223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10237560 (or 10237540 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 6722359223040 in words is "six trillion, seven hundred twenty-two billion, three hundred fifty-nine million, two hundred twenty-three thousand, forty".