13642362720 has 288 divisors, whose sum is σ = 53360536320. Its totient is φ = 3109155840.

The previous prime is 13642362709. The next prime is 13642362749. The reversal of 13642362720 is 2726324631.

13642362720 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 2 + 3 + 627 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13642362720² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3818535 + ... + 3822105.

It is an arithmetic number, because the mean of its divisors is an integer number (185279640).

Almost surely, 2^13642362720 is an apocalyptic number.

13642362720 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 13642362720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26680268160).

13642362720 is an abundant number, since it is smaller than the sum of its proper divisors (39718173600).

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

13642362720 is a wasteful number, since it uses less digits than its factorization.

13642362720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3978 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 13642362720 in words is "thirteen billion, six hundred forty-two million, three hundred sixty-two thousand, seven hundred twenty".