12378076592640 has 640 divisors, whose sum is σ = 43518088449792. Its totient is φ = 2976535019520.

The previous prime is 12378076592639. The next prime is 12378076592701. The reversal of 12378076592640 is 4629567087321.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9543620472 + ... + 9543621768.

It is a 1-persistent number, because it is pandigital, but 2⋅12378076592640 = 24756153185280 is not.

Almost surely, 2^{12378076592640} is an apocalyptic number.

12378076592640 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 12378076592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21759044224896).

12378076592640 is an abundant number, since it is smaller than the sum of its proper divisors (31140011857152).

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

12378076592640 is a wasteful number, since it uses less digits than its factorization.

12378076592640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 12378076592640 in words is "twelve trillion, three hundred seventy-eight billion, seventy-six million, five hundred ninety-two thousand, six hundred forty".