18256803840 has 1152 divisors, whose sum is σ = 77271667200. Its totient is φ = 4087480320.

The previous prime is 18256803839. The next prime is 18256803853. The reversal of 18256803840 is 4830865281.

18256803840 is a `hidden beast` number, since 1 + 8 + 2 + 568 + 0 + 3 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 629544946 + ... + 629544974.

It is an arithmetic number, because the mean of its divisors is an integer number (67076100).

Almost surely, 2^18256803840 is an apocalyptic number.

18256803840 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 18256803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38635833600).

18256803840 is an abundant number, since it is smaller than the sum of its proper divisors (59014863360).

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

18256803840 is a wasteful number, since it uses less digits than its factorization.

18256803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 18256803840 in words is "eighteen billion, two hundred fifty-six million, eight hundred three thousand, eight hundred forty".