1868564880 has 720 divisors, whose sum is σ = 8254471680. Its totient is φ = 368769024.

The previous prime is 1868564851. The next prime is 1868564923. The reversal of 1868564880 is 884658681.

1868564880 is a `hidden beast` number, since 1 + 86 + 85 + 6 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23652681 + ... + 23652759.

It is an arithmetic number, because the mean of its divisors is an integer number (11464544).

Almost surely, 2^1868564880 is an apocalyptic number.

1868564880 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 1868564880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127235840).

1868564880 is an abundant number, since it is smaller than the sum of its proper divisors (6385906800).

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

1868564880 is a wasteful number, since it uses less digits than its factorization.

1868564880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The square root of 1868564880 is about 43226.8999582436. The cubic root of 1868564880 is about 1231.6937205978.

The spelling of 1868564880 in words is "one billion, eight hundred sixty-eight million, five hundred sixty-four thousand, eight hundred eighty".