18250679040 has 576 divisors, whose sum is σ = 67391170560. Its totient is φ = 4167761920.

The previous prime is 18250678997. The next prime is 18250679047. The reversal of 18250679040 is 4097605281.

It is a junction number, because it is equal to n+sod(n) for n = 18250678983 and 18250679001.

It is not an unprimeable number, because it can be changed into a prime (18250679047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57572962 + ... + 57573278.

It is an arithmetic number, because the mean of its divisors is an integer number (116998560).

Almost surely, 2^18250679040 is an apocalyptic number.

18250679040 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 18250679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33695585280).

18250679040 is an abundant number, since it is smaller than the sum of its proper divisors (49140491520).

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

18250679040 is a wasteful number, since it uses less digits than its factorization.

18250679040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 18250679040 in words is "eighteen billion, two hundred fifty million, six hundred seventy-nine thousand, forty".