7967556224 has 64 divisors (see below), whose sum is σ = 16583192640. Its totient is φ = 3805925376.

The previous prime is 7967556221. The next prime is 7967556227. The reversal of 7967556224 is 4226557697.

It is an interprime number because it is at equal distance from previous prime (7967556221) and next prime (7967556227).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×7967556224² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7967556221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4482824 + ... + 4484600.

It is an arithmetic number, because the mean of its divisors is an integer number (259112385).

Almost surely, 2^7967556224 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 7967556224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8291596320).

7967556224 is an abundant number, since it is smaller than the sum of its proper divisors (8615636416).

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

7967556224 is a wasteful number, since it uses less digits than its factorization.

7967556224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337 (or 3325 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 53.

The square root of 7967556224 is about 89261.1686233157. The cubic root of 7967556224 is about 1997.2926888869.

The spelling of 7967556224 in words is "seven billion, nine hundred sixty-seven million, five hundred fifty-six thousand, two hundred twenty-four".