18672093440 has 864 divisors, whose sum is σ = 64636185600. Its totient is φ = 5003182080.

The previous prime is 18672093437. The next prime is 18672093443. The reversal of 18672093440 is 4439027681.

It is an interprime number because it is at equal distance from previous prime (18672093437) and next prime (18672093443).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 18672093391 and 18672093400.

It is not an unprimeable number, because it can be changed into a prime (18672093443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 316476131 + ... + 316476189.

It is an arithmetic number, because the mean of its divisors is an integer number (74810400).

Almost surely, 2^18672093440 is an apocalyptic number.

18672093440 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 18672093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32318092800).

18672093440 is an abundant number, since it is smaller than the sum of its proper divisors (45964092160).

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

18672093440 is a wasteful number, since it uses less digits than its factorization.

18672093440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 18672093440 in words is "eighteen billion, six hundred seventy-two million, ninety-three thousand, four hundred forty".