13733556480 has 720 divisors, whose sum is σ = 56983449600. Its totient is φ = 3093479424.

The previous prime is 13733556461. The next prime is 13733556517. The reversal of 13733556480 is 8465533731.

13733556480 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 3 + 5 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×13733556480² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 92171446 + ... + 92171594.

It is an arithmetic number, because the mean of its divisors is an integer number (79143680).

Almost surely, 2^13733556480 is an apocalyptic number.

13733556480 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 13733556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28491724800).

13733556480 is an abundant number, since it is smaller than the sum of its proper divisors (43249893120).

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

13733556480 is a wasteful number, since it uses less digits than its factorization.

13733556480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 13733556480 in words is "thirteen billion, seven hundred thirty-three million, five hundred fifty-six thousand, four hundred eighty".