1864488864 has 96 divisors (see below), whose sum is σ = 5677088256. Its totient is φ = 524747520.

The previous prime is 1864488863. The next prime is 1864488869. The reversal of 1864488864 is 4688844681.

1864488864 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 (1864488863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24319 + ... + 65729.

It is an arithmetic number, because the mean of its divisors is an integer number (59136336).

Almost surely, 2^1864488864 is an apocalyptic number.

1864488864 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 1864488864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838544128).

1864488864 is an abundant number, since it is smaller than the sum of its proper divisors (3812599392).

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

1864488864 is a wasteful number, since it uses less digits than its factorization.

1864488864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41498 (or 41490 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 57.

The square root of 1864488864 is about 43179.7274655596. The cubic root of 1864488864 is about 1230.7974787395.

The spelling of 1864488864 in words is "one billion, eight hundred sixty-four million, four hundred eighty-eight thousand, eight hundred sixty-four".