12407767680 has 1024 divisors, whose sum is σ = 53299814400. Its totient is φ = 2378956800.

The previous prime is 12407767667. The next prime is 12407767681. The reversal of 12407767680 is 8676770421.

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

It is not an unprimeable number, because it can be changed into a prime (12407767681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 139413076 + ... + 139413164.

It is an arithmetic number, because the mean of its divisors is an integer number (52050600).

Almost surely, 2^12407767680 is an apocalyptic number.

12407767680 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 12407767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26649907200).

12407767680 is an abundant number, since it is smaller than the sum of its proper divisors (40892046720).

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

12407767680 is a wasteful number, since it uses less digits than its factorization.

12407767680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

It can be divided in two parts, 12407 and 767680, that added together give a palindrome (780087).

The spelling of 12407767680 in words is "twelve billion, four hundred seven million, seven hundred sixty-seven thousand, six hundred eighty".