13631640000 has 560 divisors, whose sum is σ = 51418540800. Its totient is φ = 3153920000.

The previous prime is 13631639963. The next prime is 13631640017. The reversal of 13631640000 is 4613631.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30359776 + ... + 30360224.

Almost surely, 2^13631640000 is an apocalyptic number.

13631640000 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 13631640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25709270400).

13631640000 is an abundant number, since it is smaller than the sum of its proper divisors (37786900800).

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

13631640000 is a wasteful number, since it uses less digits than its factorization.

13631640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 13631640000 in words is "thirteen billion, six hundred thirty-one million, six hundred forty thousand".