13642067712 has 576 divisors, whose sum is σ = 47470510080. Its totient is φ = 3381460992.

The previous prime is 13642067701. The next prime is 13642067723. The reversal of 13642067712 is 21776024631.

It is an interprime number because it is at equal distance from previous prime (13642067701) and next prime (13642067723).

It is a super-2 number, since 2×13642067712² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107417793 + ... + 107417919.

It is an arithmetic number, because the mean of its divisors is an integer number (82414080).

Almost surely, 2^13642067712 is an apocalyptic number.

13642067712 is a gapful number since it is divisible by the number (12) 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 13642067712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23735255040).

13642067712 is an abundant number, since it is smaller than the sum of its proper divisors (33828442368).

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

13642067712 is a wasteful number, since it uses less digits than its factorization.

13642067712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 13642067712 in words is "thirteen billion, six hundred forty-two million, sixty-seven thousand, seven hundred twelve".