13763352960 has 384 divisors, whose sum is σ = 54648172800. Its totient is φ = 3126693888.

The previous prime is 13763352931. The next prime is 13763352979. The reversal of 13763352960 is 6925336731.

13763352960 is a `hidden beast` number, since 1 + 3 + 7 + 63 + 3 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7216327 + ... + 7218233.

It is an arithmetic number, because the mean of its divisors is an integer number (142312950).

Almost surely, 2^13763352960 is an apocalyptic number.

13763352960 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 13763352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27324086400).

13763352960 is an abundant number, since it is smaller than the sum of its proper divisors (40884819840).

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

13763352960 is a wasteful number, since it uses less digits than its factorization.

13763352960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 13763352960 in words is "thirteen billion, seven hundred sixty-three million, three hundred fifty-two thousand, nine hundred sixty".