13768637000 has 64 divisors (see below), whose sum is σ = 32454105840. Its totient is φ = 5467200000.

The previous prime is 13768636963. The next prime is 13768637017. The reversal of 13768637000 is 73686731.

It can be written as a sum of positive squares in 8 ways, for example, as 17322244 + 13751314756 = 4162^2 + 117266^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86750 + ... + 187250.

Almost surely, 2^13768637000 is an apocalyptic number.

13768637000 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 13768637000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16227052920).

13768637000 is an abundant number, since it is smaller than the sum of its proper divisors (18685468840).

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

13768637000 is a wasteful number, since it uses less digits than its factorization.

13768637000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100659 (or 100645 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The spelling of 13768637000 in words is "thirteen billion, seven hundred sixty-eight million, six hundred thirty-seven thousand".