18670055040 has 1024 divisors, whose sum is σ = 84226867200. Its totient is φ = 3802152960.

The previous prime is 18670055023. The next prime is 18670055057. The reversal of 18670055040 is 4055007681.

18670055040 is a `hidden beast` number, since 1 + 8 + 67 + 0 + 0 + 550 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (18670055023) and next prime (18670055057).

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 = 18670054986 and 18670055004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48746689 + ... + 48747071.

It is an arithmetic number, because the mean of its divisors is an integer number (82252800).

Almost surely, 2^18670055040 is an apocalyptic number.

18670055040 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 18670055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42113433600).

18670055040 is an abundant number, since it is smaller than the sum of its proper divisors (65556812160).

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

18670055040 is a wasteful number, since it uses less digits than its factorization.

18670055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 18670055040 in words is "eighteen billion, six hundred seventy million, fifty-five thousand, forty".