1809274731264 has 1152 divisors, whose sum is σ = 7562315980800. Its totient is φ = 410931118080.

The previous prime is 1809274731197. The next prime is 1809274731269. The reversal of 1809274731264 is 4621374729081.

1809274731264 is a `hidden beast` number, since 1 + 80 + 9 + 27 + 473 + 12 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1809274731264.

It is not an unprimeable number, because it can be changed into a prime (1809274731269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 131452447 + ... + 131466209.

It is an arithmetic number, because the mean of its divisors is an integer number (6564510400).

Almost surely, 2^{1809274731264} is an apocalyptic number.

1809274731264 is a gapful number since it is divisible by the number (14) 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 1809274731264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781157990400).

1809274731264 is an abundant number, since it is smaller than the sum of its proper divisors (5753041249536).

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

1809274731264 is a wasteful number, since it uses less digits than its factorization.

1809274731264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13838 (or 13818 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 1809274731264 in words is "one trillion, eight hundred nine billion, two hundred seventy-four million, seven hundred thirty-one thousand, two hundred sixty-four".