13642353720 has 320 divisors, whose sum is σ = 47266259040. Its totient is φ = 3527193600.

The previous prime is 13642353719. The next prime is 13642353727. The reversal of 13642353720 is 2735324631.

13642353720 is a `hidden beast` number, since 1 + 3 + 642 + 3 + 5 + 3 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×13642353720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13642353727) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25216650 + ... + 25217190.

Almost surely, 2^13642353720 is an apocalyptic number.

13642353720 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 13642353720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23633129520).

13642353720 is an abundant number, since it is smaller than the sum of its proper divisors (33623905320).

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

13642353720 is a wasteful number, since it uses less digits than its factorization.

13642353720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 13642353720 in words is "thirteen billion, six hundred forty-two million, three hundred fifty-three thousand, seven hundred twenty".