12376067760 has 240 divisors, whose sum is σ = 49260347136. Its totient is φ = 2828784384.

The previous prime is 12376067633. The next prime is 12376067771. The reversal of 12376067760 is 6776067321.

12376067760 is a `hidden beast` number, since 1 + 2 + 37 + 606 + 7 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×12376067760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 90607 + ... + 181553.

Almost surely, 2^12376067760 is an apocalyptic number.

12376067760 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 12376067760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24630173568).

12376067760 is an abundant number, since it is smaller than the sum of its proper divisors (36884279376).

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

12376067760 is an equidigital number, since it uses as much as digits as its factorization.

12376067760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90982 (or 90964 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 12376067760 in words is "twelve billion, three hundred seventy-six million, sixty-seven thousand, seven hundred sixty".