18312277680 has 240 divisors, whose sum is σ = 62359446240. Its totient is φ = 4815360000.

The previous prime is 18312277631. The next prime is 18312277693. The reversal of 18312277680 is 8677221381.

18312277680 is a `hidden beast` number, since 1 + 8 + 312 + 277 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30469380 + ... + 30469980.

It is an arithmetic number, because the mean of its divisors is an integer number (259831026).

Almost surely, 2^18312277680 is an apocalyptic number.

18312277680 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 18312277680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31179723120).

18312277680 is an abundant number, since it is smaller than the sum of its proper divisors (44047168560).

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

18312277680 is a wasteful number, since it uses less digits than its factorization.

18312277680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 18312277680 in words is "eighteen billion, three hundred twelve million, two hundred seventy-seven thousand, six hundred eighty".