827540917984 has 48 divisors (see below), whose sum is σ = 1781973043200. Its totient is φ = 375172773760.

The previous prime is 827540917969. The next prime is 827540917991. The reversal of 827540917984 is 489719045728.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2934334 + ... + 3203965.

It is an arithmetic number, because the mean of its divisors is an integer number (37124438400).

Almost surely, 2^827540917984 is an apocalyptic number.

It is an amenable number.

827540917984 is an abundant number, since it is smaller than the sum of its proper divisors (954432125216).

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

827540917984 is a wasteful number, since it uses less digits than its factorization.

827540917984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6138703 (or 6138695 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 64.

The spelling of 827540917984 in words is "eight hundred twenty-seven billion, five hundred forty million, nine hundred seventeen thousand, nine hundred eighty-four".