821628608688 has 60 divisors (see below), whose sum is σ = 2299740736488. Its totient is φ = 273837876480.

The previous prime is 821628608653. The next prime is 821628608741. The reversal of 821628608688 is 886806826128.

821628608688 is a `hidden beast` number, since 8 + 2 + 16 + 2 + 8 + 608 + 6 + 8 + 8 = 666.

It is a super-2 number, since 2×821628608688² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 642756 + ... + 1434012.

Almost surely, 2^821628608688 is an apocalyptic number.

It is an amenable number.

821628608688 is an abundant number, since it is smaller than the sum of its proper divisors (1478112127800).

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

821628608688 is a wasteful number, since it uses less digits than its factorization.

821628608688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798482 (or 798473 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 63.

The spelling of 821628608688 in words is "eight hundred twenty-one billion, six hundred twenty-eight million, six hundred eight thousand, six hundred eighty-eight".