7922644918272 has 1344 divisors, whose sum is σ = 28918799769600. Its totient is φ = 2039068753920.

The previous prime is 7922644918249. The next prime is 7922644918289. The reversal of 7922644918272 is 2728194462297.

It is a happy number.

7922644918272 is a `hidden beast` number, since 7 + 9 + 2 + 2 + 6 + 449 + 182 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×7922644918272² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20366696254 + ... + 20366696642.

Almost surely, 2^{7922644918272} is an apocalyptic number.

7922644918272 is a gapful number since it is divisible by the number (72) 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 7922644918272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14459399884800).

7922644918272 is an abundant number, since it is smaller than the sum of its proper divisors (20996154851328).

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

7922644918272 is a wasteful number, since it uses less digits than its factorization.

7922644918272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 518 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 7922644918272 in words is "seven trillion, nine hundred twenty-two billion, six hundred forty-four million, nine hundred eighteen thousand, two hundred seventy-two".