1812500064 has 288 divisors, whose sum is σ = 5647509504. Its totient is φ = 571069440.

The previous prime is 1812500059. The next prime is 1812500083. The reversal of 1812500064 is 4600052181.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17597037 + ... + 17597139.

It is an arithmetic number, because the mean of its divisors is an integer number (19609408).

Almost surely, 2^1812500064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1812500064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823754752).

1812500064 is an abundant number, since it is smaller than the sum of its proper divisors (3835009440).

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

1812500064 is a wasteful number, since it uses less digits than its factorization.

1812500064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1812500064 is about 42573.4666664579. The cubic root of 1812500064 is about 1219.2497546190.

The spelling of 1812500064 in words is "one billion, eight hundred twelve million, five hundred thousand, sixty-four".