18407105640 has 1152 divisors, whose sum is σ = 82281588480. Its totient is φ = 3479224320.

The previous prime is 18407105599. The next prime is 18407105659. The reversal of 18407105640 is 4650170481.

It is a happy number.

18407105640 is a `hidden beast` number, since 1 + 8 + 4 + 0 + 7 + 1 + 0 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18407105595 and 18407105604.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 274732887 + ... + 274732953.

It is an arithmetic number, because the mean of its divisors is an integer number (71424990).

Almost surely, 2^18407105640 is an apocalyptic number.

18407105640 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 18407105640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41140794240).

18407105640 is an abundant number, since it is smaller than the sum of its proper divisors (63874482840).

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

18407105640 is a wasteful number, since it uses less digits than its factorization.

18407105640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 18407105640 in words is "eighteen billion, four hundred seven million, one hundred five thousand, six hundred forty".