12346793760 has 384 divisors, whose sum is σ = 46673915904. Its totient is φ = 2682408960.

The previous prime is 12346793747. The next prime is 12346793803. The reversal of 12346793760 is 6739764321.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15223755 + ... + 15224565.

It is an arithmetic number, because the mean of its divisors is an integer number (121546656).

Almost surely, 2^12346793760 is an apocalyptic number.

12346793760 is a gapful number since it is divisible by the number (10) 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 12346793760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23336957952).

12346793760 is an abundant number, since it is smaller than the sum of its proper divisors (34327122144).

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

12346793760 is a wasteful number, since it uses less digits than its factorization.

12346793760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 48.

The spelling of 12346793760 in words is "twelve billion, three hundred forty-six million, seven hundred ninety-three thousand, seven hundred sixty".