12376788480 has 720 divisors, whose sum is σ = 52577862480. Its totient is φ = 2675441664.

The previous prime is 12376788407. The next prime is 12376788481. The reversal of 12376788480 is 8488767321.

It is a happy number.

12376788480 is a `hidden beast` number, since 1 + 23 + 7 + 67 + 88 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12376788481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21449952 + ... + 21450528.

It is an arithmetic number, because the mean of its divisors is an integer number (73024809).

Almost surely, 2^12376788480 is an apocalyptic number.

12376788480 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 12376788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26288931240).

12376788480 is an abundant number, since it is smaller than the sum of its proper divisors (40201074000).

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

12376788480 is a wasteful number, since it uses less digits than its factorization.

12376788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 12376788480 in words is "twelve billion, three hundred seventy-six million, seven hundred eighty-eight thousand, four hundred eighty".