7967561328 has 80 divisors (see below), whose sum is σ = 22927952160. Its totient is φ = 2649106944.

The previous prime is 7967561323. The next prime is 7967561339. The reversal of 7967561328 is 8231657697.

7967561328 is a `hidden beast` number, since 79 + 6 + 7 + 561 + 3 + 2 + 8 = 666.

It is a super-2 number, since 2×7967561328² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7967561321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 148276 + ... + 194732.

It is an arithmetic number, because the mean of its divisors is an integer number (286599402).

Almost surely, 2^7967561328 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 7967561328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11463976080).

7967561328 is an abundant number, since it is smaller than the sum of its proper divisors (14960390832).

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

7967561328 is a wasteful number, since it uses less digits than its factorization.

7967561328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46871 (or 46859 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 7967561328 is about 89261.1972135709. The cubic root of 7967561328 is about 1997.2931153740.

The spelling of 7967561328 in words is "seven billion, nine hundred sixty-seven million, five hundred sixty-one thousand, three hundred twenty-eight".