820961914032 has 800 divisors, whose sum is σ = 2776772275200. Its totient is φ = 231913414656.

The previous prime is 820961914027. The next prime is 820961914133. The reversal of 820961914032 is 230419169028.

820961914032 is a `hidden beast` number, since 8 + 20 + 9 + 619 + 1 + 4 + 0 + 3 + 2 = 666.

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 159 ways as a sum of consecutive naturals, for example, 3434986969 + ... + 3434987207.

It is an arithmetic number, because the mean of its divisors is an integer number (3470965344).

Almost surely, 2^820961914032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820961914032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388386137600).

820961914032 is an abundant number, since it is smaller than the sum of its proper divisors (1955810361168).

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

820961914032 is a wasteful number, since it uses less digits than its factorization.

820961914032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 820961914032 in words is "eight hundred twenty billion, nine hundred sixty-one million, nine hundred fourteen thousand, thirty-two".