18267560640 has 840 divisors, whose sum is σ = 79673592240. Its totient is φ = 3950456832.

The previous prime is 18267560629. The next prime is 18267560651. The reversal of 18267560640 is 4606576281.

18267560640 is a `hidden beast` number, since 1 + 8 + 26 + 7 + 560 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18267560629) and next prime (18267560651).

It is a tau number, because it is divible by the number of its divisors (840).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 24131142 + ... + 24131898.

Almost surely, 2^18267560640 is an apocalyptic number.

18267560640 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 18267560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39836796120).

18267560640 is an abundant number, since it is smaller than the sum of its proper divisors (61406031600).

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

18267560640 is a wasteful number, since it uses less digits than its factorization.

18267560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 18267560640 in words is "eighteen billion, two hundred sixty-seven million, five hundred sixty thousand, six hundred forty".