18467008560 has 1440 divisors, whose sum is σ = 88017366528. Its totient is φ = 3493601280.

The previous prime is 18467008541. The next prime is 18467008579. The reversal of 18467008560 is 6580076481.

It is a happy number.

18467008560 is a `hidden beast` number, since 1 + 84 + 6 + 7 + 0 + 0 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (18467008541) and next prime (18467008579).

It is a super-2 number, since 2×18467008560² (a number of 21 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 252972684 + ... + 252972756.

Almost surely, 2^18467008560 is an apocalyptic number.

18467008560 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 18467008560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44008683264).

18467008560 is an abundant number, since it is smaller than the sum of its proper divisors (69550357968).

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

18467008560 is a wasteful number, since it uses less digits than its factorization.

18467008560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 18467008560 in words is "eighteen billion, four hundred sixty-seven million, eight thousand, five hundred sixty".