13721776380 has 192 divisors, whose sum is σ = 46130810880. Its totient is φ = 3366137088.

The previous prime is 13721776363. The next prime is 13721776399. The reversal of 13721776380 is 8367712731.

13721776380 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 1 + 7 + 7 + 638 + 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 63 ways as a sum of consecutive naturals, for example, 2151957 + ... + 2158323.

It is an arithmetic number, because the mean of its divisors is an integer number (240264640).

Almost surely, 2^13721776380 is an apocalyptic number.

13721776380 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 13721776380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23065405440).

13721776380 is an abundant number, since it is smaller than the sum of its proper divisors (32409034500).

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

13721776380 is a wasteful number, since it uses less digits than its factorization.

13721776380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6705 (or 6697 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 13721776380 in words is "thirteen billion, seven hundred twenty-one million, seven hundred seventy-six thousand, three hundred eighty".