13766742000 has 480 divisors, whose sum is σ = 54752495616. Its totient is φ = 3191232000.

The previous prime is 13766741993. The next prime is 13766742037. The reversal of 13766742000 is 24766731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4552489 + ... + 4555511.

Almost surely, 2^13766742000 is an apocalyptic number.

13766742000 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 13766742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27376247808).

13766742000 is an abundant number, since it is smaller than the sum of its proper divisors (40985753616).

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

13766742000 is a wasteful number, since it uses less digits than its factorization.

13766742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3086 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 13766742000 in words is "thirteen billion, seven hundred sixty-six million, seven hundred forty-two thousand".