13742356320 has 960 divisors, whose sum is σ = 61963646976. Its totient is φ = 2785259520.

The previous prime is 13742356291. The next prime is 13742356321. The reversal of 13742356320 is 2365324731.

13742356320 is a `hidden beast` number, since 1 + 3 + 74 + 2 + 3 + 563 + 20 = 666.

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 (13742356321) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 46902094 + ... + 46902386.

Almost surely, 2^13742356320 is an apocalyptic number.

13742356320 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 13742356320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30981823488).

13742356320 is an abundant number, since it is smaller than the sum of its proper divisors (48221290656).

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

13742356320 is a wasteful number, since it uses less digits than its factorization.

13742356320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 368 counting only the distinct ones).

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

The spelling of 13742356320 in words is "thirteen billion, seven hundred forty-two million, three hundred fifty-six thousand, three hundred twenty".