821693982630762 has 128 divisors (see below), whose sum is σ = 1853307217036800. Its totient is φ = 269829507806208.

The previous prime is 821693982630749. The next prime is 821693982630827. The reversal of 821693982630762 is 267036289396128.

It is a happy number.

821693982630762 is a `hidden beast` number, since 8 + 2 + 169 + 398 + 2 + 6 + 3 + 0 + 76 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27959221164 + ... + 27959250552.

It is an arithmetic number, because the mean of its divisors is an integer number (14478962633100).

Almost surely, 2^{821693982630762} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 821693982630762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926653608518400).

821693982630762 is an abundant number, since it is smaller than the sum of its proper divisors (1031613234406038).

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

821693982630762 is a wasteful number, since it uses less digits than its factorization.

821693982630762 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57117 (or 57111 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 821693982630762 in words is "eight hundred twenty-one trillion, six hundred ninety-three billion, nine hundred eighty-two million, six hundred thirty thousand, seven hundred sixty-two".