7847967312 has 160 divisors (see below), whose sum is σ = 24121670400. Its totient is φ = 2434240512.

The previous prime is 7847967307. The next prime is 7847967313. The reversal of 7847967312 is 2137697487.

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 (7847967313) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 647613 + ... + 659619.

It is an arithmetic number, because the mean of its divisors is an integer number (150760440).

Almost surely, 2^7847967312 is an apocalyptic number.

7847967312 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 7847967312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12060835200).

7847967312 is an abundant number, since it is smaller than the sum of its proper divisors (16273703088).

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

7847967312 is a wasteful number, since it uses less digits than its factorization.

7847967312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12130 (or 12118 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The square root of 7847967312 is about 88588.7538686486. The cubic root of 7847967312 is about 1987.2494943798.

The spelling of 7847967312 in words is "seven billion, eight hundred forty-seven million, nine hundred sixty-seven thousand, three hundred twelve".