12367680640 has 512 divisors, whose sum is σ = 37914624000. Its totient is φ = 3762339840.

The previous prime is 12367680629. The next prime is 12367680641. The reversal of 12367680640 is 4608676321.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (12367680641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113464906 + ... + 113465014.

It is an arithmetic number, because the mean of its divisors is an integer number (74052000).

Almost surely, 2^12367680640 is an apocalyptic number.

12367680640 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 12367680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18957312000).

12367680640 is an abundant number, since it is smaller than the sum of its proper divisors (25546943360).

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

12367680640 is a wasteful number, since it uses less digits than its factorization.

12367680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 12367680640 in words is "twelve billion, three hundred sixty-seven million, six hundred eighty thousand, six hundred forty".