7926268224 has 168 divisors, whose sum is σ = 25831068480. Its totient is φ = 2131390464.

The previous prime is 7926268199. The next prime is 7926268249. The reversal of 7926268224 is 4228626297.

It is an interprime number because it is at equal distance from previous prime (7926268199) and next prime (7926268249).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×7926268224² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135157 + ... + 184715.

It is an arithmetic number, because the mean of its divisors is an integer number (153756360).

Almost surely, 2^7926268224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7926268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12915534240).

7926268224 is an abundant number, since it is smaller than the sum of its proper divisors (17904800256).

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

7926268224 is a wasteful number, since it uses less digits than its factorization.

7926268224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49605 (or 49588 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 7926268224 is about 89029.5918445098. The cubic root of 7926268224 is about 1993.8367117825.

The spelling of 7926268224 in words is "seven billion, nine hundred twenty-six million, two hundred sixty-eight thousand, two hundred twenty-four".