873314576640 has 1080 divisors, whose sum is σ = 3489405279360. Its totient is φ = 208352010240.

The previous prime is 873314576623. The next prime is 873314576647. The reversal of 873314576640 is 46675413378.

It is a happy number.

873314576640 is a `hidden beast` number, since 8 + 7 + 3 + 3 + 1 + 4 + 576 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-3 number, since 3×873314576640³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (873314576647) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 840533241 + ... + 840534279.

Almost surely, 2^873314576640 is an apocalyptic number.

873314576640 is a gapful number since it is divisible by the number (80) 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 873314576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744702639680).

873314576640 is an abundant number, since it is smaller than the sum of its proper divisors (2616090702720).

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

873314576640 is a wasteful number, since it uses less digits than its factorization.

873314576640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 873314576640 in words is "eight hundred seventy-three billion, three hundred fourteen million, five hundred seventy-six thousand, six hundred forty".