12967352640 has 448 divisors, whose sum is σ = 50984017920. Its totient is φ = 3075655680.

The previous prime is 12967352627. The next prime is 12967352647. The reversal of 12967352640 is 4625376921.

12967352640 is a `hidden beast` number, since 1 + 29 + 67 + 3 + 526 + 40 = 666.

It is a super-2 number, since 2×12967352640² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12967352647) 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, 4465429 + ... + 4468331.

Almost surely, 2^12967352640 is an apocalyptic number.

12967352640 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 12967352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25492008960).

12967352640 is an abundant number, since it is smaller than the sum of its proper divisors (38016665280).

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

12967352640 is a wasteful number, since it uses less digits than its factorization.

12967352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 12967352640 in words is "twelve billion, nine hundred sixty-seven million, three hundred fifty-two thousand, six hundred forty".