1866742560 has 288 divisors, whose sum is σ = 6708199680. Its totient is φ = 471803904.

The previous prime is 1866742547. The next prime is 1866742561. The reversal of 1866742560 is 652476681.

1866742560 is a `hidden beast` number, since 1 + 86 + 6 + 7 + 4 + 2 + 560 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1866742561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5199661 + ... + 5200019.

It is an arithmetic number, because the mean of its divisors is an integer number (23292360).

Almost surely, 2^1866742560 is an apocalyptic number.

1866742560 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 1866742560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354099840).

1866742560 is an abundant number, since it is smaller than the sum of its proper divisors (4841457120).

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

1866742560 is a wasteful number, since it uses less digits than its factorization.

1866742560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1866742560 is about 43205.8162751267. The cubic root of 1866742560 is about 1231.2931868006.

The spelling of 1866742560 in words is "one billion, eight hundred sixty-six million, seven hundred forty-two thousand, five hundred sixty".