13634730000 has 600 divisors, whose sum is σ = 51325770496. Its totient is φ = 3499200000.

The previous prime is 13634729993. The next prime is 13634730023. The reversal of 13634730000 is 3743631.

It is a happy number.

13634730000 is a `hidden beast` number, since 13 + 6 + 347 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 75329910 + ... + 75330090.

Almost surely, 2^13634730000 is an apocalyptic number.

13634730000 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 13634730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25662885248).

13634730000 is an abundant number, since it is smaller than the sum of its proper divisors (37691040496).

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

13634730000 is an equidigital number, since it uses as much as digits as its factorization.

13634730000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The spelling of 13634730000 in words is "thirteen billion, six hundred thirty-four million, seven hundred thirty thousand".