821614469760 has 1152 divisors, whose sum is σ = 3507715270800. Its totient is φ = 176356196352.

The previous prime is 821614469699. The next prime is 821614469813. The reversal of 821614469760 is 67964416128.

821614469760 is a `hidden beast` number, since 82 + 1 + 61 + 446 + 9 + 7 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 758195113536 + 63419356224 = 870744^2 + 251832^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 821614469697 and 821614469706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 302842164 + ... + 302844876.

Almost surely, 2^821614469760 is an apocalyptic number.

821614469760 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 821614469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753857635400).

821614469760 is an abundant number, since it is smaller than the sum of its proper divisors (2686100801040).

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

821614469760 is a wasteful number, since it uses less digits than its factorization.

821614469760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 821614469760 in words is "eight hundred twenty-one billion, six hundred fourteen million, four hundred sixty-nine thousand, seven hundred sixty".