821607376128 has 864 divisors, whose sum is σ = 2906641584000. Its totient is φ = 203465687040.

The previous prime is 821607376127. The next prime is 821607376171. The reversal of 821607376128 is 821673706128.

821607376128 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821607376123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1068409728 + ... + 1068410496.

It is an arithmetic number, because the mean of its divisors is an integer number (3364168500).

Almost surely, 2^821607376128 is an apocalyptic number.

821607376128 is a gapful number since it is divisible by the number (88) 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 821607376128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453320792000).

821607376128 is an abundant number, since it is smaller than the sum of its proper divisors (2085034207872).

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

821607376128 is a wasteful number, since it uses less digits than its factorization.

821607376128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 821607376128 in words is "eight hundred twenty-one billion, six hundred seven million, three hundred seventy-six thousand, one hundred twenty-eight".