1864471727664 has 320 divisors, whose sum is σ = 6597927705600. Its totient is φ = 490893447168.

The previous prime is 1864471727663. The next prime is 1864471727761. The reversal of 1864471727664 is 4667271744681.

1864471727664 is a `hidden beast` number, since 1 + 86 + 4 + 471 + 7 + 27 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1864471727663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23272027 + ... + 23352005.

It is an arithmetic number, because the mean of its divisors is an integer number (20618524080).

Almost surely, 2^{1864471727664} is an apocalyptic number.

1864471727664 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 1864471727664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3298963852800).

1864471727664 is an abundant number, since it is smaller than the sum of its proper divisors (4733455977936).

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

1864471727664 is a wasteful number, since it uses less digits than its factorization.

1864471727664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80609 (or 80597 counting only the distinct ones).

The product of its digits is 75866112, while the sum is 63.

The spelling of 1864471727664 in words is "one trillion, eight hundred sixty-four billion, four hundred seventy-one million, seven hundred twenty-seven thousand, six hundred sixty-four".