13736391480 has 576 divisors, whose sum is σ = 54495866880. Its totient is φ = 3102624000.

The previous prime is 13736391463. The next prime is 13736391491. The reversal of 13736391480 is 8419363731.

13736391480 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 639 + 1 + 4 + 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 143 ways as a sum of consecutive naturals, for example, 71918185 + ... + 71918375.

It is an arithmetic number, because the mean of its divisors is an integer number (94610880).

Almost surely, 2^13736391480 is an apocalyptic number.

13736391480 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 13736391480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27247933440).

13736391480 is an abundant number, since it is smaller than the sum of its proper divisors (40759475400).

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

13736391480 is a wasteful number, since it uses less digits than its factorization.

13736391480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 13736391480 in words is "thirteen billion, seven hundred thirty-six million, three hundred ninety-one thousand, four hundred eighty".