12693461760 has 648 divisors, whose sum is σ = 51799456800. Its totient is φ = 2861236224.

The previous prime is 12693461747. The next prime is 12693461771. The reversal of 12693461760 is 6716439621.

12693461760 is a `hidden beast` number, since 1 + 26 + 9 + 3 + 4 + 617 + 6 + 0 = 666.

It is a super-2 number, since 2×12693461760² (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 71 ways as a sum of consecutive naturals, for example, 63786141 + ... + 63786339.

Almost surely, 2^12693461760 is an apocalyptic number.

12693461760 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 12693461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25899728400).

12693461760 is an abundant number, since it is smaller than the sum of its proper divisors (39105995040).

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

12693461760 is a wasteful number, since it uses less digits than its factorization.

12693461760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 12693461760 in words is "twelve billion, six hundred ninety-three million, four hundred sixty-one thousand, seven hundred sixty".