7967303136 has 288 divisors, whose sum is σ = 26241546240. Its totient is φ = 2272084992.

The previous prime is 7967303119. The next prime is 7967303137. The reversal of 7967303136 is 6313037697.

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

It is a junction number, because it is equal to n+sod(n) for n = 7967303091 and 7967303100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7967303137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3342201 + ... + 3344583.

It is an arithmetic number, because the mean of its divisors is an integer number (91116480).

Almost surely, 2^7967303136 is an apocalyptic number.

7967303136 is a gapful number since it is divisible by the number (76) 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 7967303136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13120773120).

7967303136 is an abundant number, since it is smaller than the sum of its proper divisors (18274243104).

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

7967303136 is a wasteful number, since it uses less digits than its factorization.

7967303136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 45.

The square root of 7967303136 is about 89259.7509295203. The cubic root of 7967303136 is about 1997.2715407811.

The spelling of 7967303136 in words is "seven billion, nine hundred sixty-seven million, three hundred three thousand, one hundred thirty-six".