13742344980 has 864 divisors, whose sum is σ = 56802380544. Its totient is φ = 2759049216.

The previous prime is 13742344963. The next prime is 13742345011. The reversal of 13742344980 is 8944324731.

13742344980 is a `hidden beast` number, since 1 + 374 + 234 + 49 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 71203764 + ... + 71203956.

It is an arithmetic number, because the mean of its divisors is an integer number (65743496).

Almost surely, 2^13742344980 is an apocalyptic number.

13742344980 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 13742344980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28401190272).

13742344980 is an abundant number, since it is smaller than the sum of its proper divisors (43060035564).

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

13742344980 is a wasteful number, since it uses less digits than its factorization.

13742344980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 13742344980 in words is "thirteen billion, seven hundred forty-two million, three hundred forty-four thousand, nine hundred eighty".