1872823680 has 640 divisors, whose sum is σ = 8252354880. Its totient is φ = 394149888.

The previous prime is 1872823663. The next prime is 1872823681. The reversal of 1872823680 is 863282781.

1872823680 is a `hidden beast` number, since 1 + 8 + 7 + 282 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1872823681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4717242 + ... + 4717638.

Almost surely, 2^1872823680 is an apocalyptic number.

1872823680 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 1872823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126177440).

1872823680 is an abundant number, since it is smaller than the sum of its proper divisors (6379531200).

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

1872823680 is a wasteful number, since it uses less digits than its factorization.

1872823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1872823680 is about 43276.1329141133. The cubic root of 1872823680 is about 1232.6287620893.

The spelling of 1872823680 in words is "one billion, eight hundred seventy-two million, eight hundred twenty-three thousand, six hundred eighty".