13724723376 has 320 divisors, whose sum is σ = 48885760000. Its totient is φ = 3589899264.

The previous prime is 13724723329. The next prime is 13724723387. The reversal of 13724723376 is 67332742731.

13724723376 is a `hidden beast` number, since 1 + 37 + 247 + 2 + 3 + 376 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 4991250 + ... + 4993998.

It is an arithmetic number, because the mean of its divisors is an integer number (152768000).

Almost surely, 2^13724723376 is an apocalyptic number.

13724723376 is a gapful number since it is divisible by the number (16) 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 13724723376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24442880000).

13724723376 is an abundant number, since it is smaller than the sum of its proper divisors (35161036624).

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

13724723376 is a wasteful number, since it uses less digits than its factorization.

13724723376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913 (or 2901 counting only the distinct ones).

The product of its digits is 889056, while the sum is 45.

The spelling of 13724723376 in words is "thirteen billion, seven hundred twenty-four million, seven hundred twenty-three thousand, three hundred seventy-six".