13773672000 has 1344 divisors, whose sum is σ = 60710307840. Its totient is φ = 3041280000.

The previous prime is 13773671939. The next prime is 13773672001. The reversal of 13773672000 is 27637731.

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

It is not an unprimeable number, because it can be changed into a prime (13773672001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 444311985 + ... + 444312015.

It is an arithmetic number, because the mean of its divisors is an integer number (45171360).

Almost surely, 2^13773672000 is an apocalyptic number.

13773672000 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 13773672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30355153920).

13773672000 is an abundant number, since it is smaller than the sum of its proper divisors (46936635840).

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

13773672000 is a wasteful number, since it uses less digits than its factorization.

13773672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The spelling of 13773672000 in words is "thirteen billion, seven hundred seventy-three million, six hundred seventy-two thousand".