1800015164640 has 1440 divisors, whose sum is σ = 8115024766464. Its totient is φ = 371548477440.

The previous prime is 1800015164627. The next prime is 1800015164659. The reversal of 1800015164640 is 464615100081.

1800015164640 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 0 + 1 + 5 + 1 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 1800015164595 and 1800015164604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1166567709 + ... + 1166569251.

Almost surely, 2^{1800015164640} is an apocalyptic number.

1800015164640 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 1800015164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4057512383232).

1800015164640 is an abundant number, since it is smaller than the sum of its proper divisors (6315009601824).

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

1800015164640 is a wasteful number, since it uses less digits than its factorization.

1800015164640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1800015164640 in words is "one trillion, eight hundred billion, fifteen million, one hundred sixty-four thousand, six hundred forty".