871643492640 has 384 divisors, whose sum is σ = 3158438572800. Its totient is φ = 224246292480.

The previous prime is 871643492639. The next prime is 871643492653. The reversal of 871643492640 is 46294346178.

871643492640 is a `hidden beast` number, since 8 + 71 + 6 + 43 + 492 + 6 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249681295 + ... + 249684785.

It is an arithmetic number, because the mean of its divisors is an integer number (8225100450).

Almost surely, 2^871643492640 is an apocalyptic number.

871643492640 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 871643492640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579219286400).

871643492640 is an abundant number, since it is smaller than the sum of its proper divisors (2286795080160).

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

871643492640 is a wasteful number, since it uses less digits than its factorization.

871643492640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5537 (or 5523 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 871643492640 in words is "eight hundred seventy-one billion, six hundred forty-three million, four hundred ninety-two thousand, six hundred forty".