7647861312 has 336 divisors, whose sum is σ = 27448337280. Its totient is φ = 1982029824.

The previous prime is 7647861271. The next prime is 7647861379. The reversal of 7647861312 is 2131687467.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×7647861312² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3091308 + ... + 3093780.

It is an arithmetic number, because the mean of its divisors is an integer number (81691480).

Almost surely, 2^7647861312 is an apocalyptic number.

7647861312 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 7647861312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13724168640).

7647861312 is an abundant number, since it is smaller than the sum of its proper divisors (19800475968).

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

7647861312 is a wasteful number, since it uses less digits than its factorization.

7647861312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2557 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 7647861312 is about 87452.0515025234. The cubic root of 7647861312 is about 1970.2136997513.

The spelling of 7647861312 in words is "seven billion, six hundred forty-seven million, eight hundred sixty-one thousand, three hundred twelve".