18936742272 has 384 divisors, whose sum is σ = 63180505440. Its totient is φ = 4991680512.

The previous prime is 18936742271. The next prime is 18936742313. The reversal of 18936742272 is 27224763981.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18936742271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16952658 + ... + 16953774.

Almost surely, 2^18936742272 is an apocalyptic number.

18936742272 is a gapful number since it is divisible by the number (12) 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 18936742272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31590252720).

18936742272 is an abundant number, since it is smaller than the sum of its proper divisors (44243763168).

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

18936742272 is a wasteful number, since it uses less digits than its factorization.

18936742272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1199 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The spelling of 18936742272 in words is "eighteen billion, nine hundred thirty-six million, seven hundred forty-two thousand, two hundred seventy-two".