820538946432 has 384 divisors, whose sum is σ = 2507833036800. Its totient is φ = 257121423360.

The previous prime is 820538946421. The next prime is 820538946439. The reversal of 820538946432 is 234649835028.

820538946432 is a `hidden beast` number, since 8 + 20 + 53 + 89 + 464 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×820538946432² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820538946439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233304738 + ... + 233308254.

It is an arithmetic number, because the mean of its divisors is an integer number (6530815200).

Almost surely, 2^820538946432 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 820538946432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253916518400).

820538946432 is an abundant number, since it is smaller than the sum of its proper divisors (1687294090368).

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

820538946432 is a wasteful number, since it uses less digits than its factorization.

820538946432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 820538946432 in words is "eight hundred twenty billion, five hundred thirty-eight million, nine hundred forty-six thousand, four hundred thirty-two".