821459348640 has 960 divisors, whose sum is σ = 3508199735040. Its totient is φ = 176829972480.

The previous prime is 821459348617. The next prime is 821459348653. The reversal of 821459348640 is 46843954128.

821459348640 is a `hidden beast` number, since 8 + 2 + 1 + 4 + 593 + 4 + 8 + 6 + 40 = 666.

821459348640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×821459348640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 311984764 + ... + 311987396.

It is an arithmetic number, because the mean of its divisors is an integer number (3654374724).

Almost surely, 2^821459348640 is an apocalyptic number.

821459348640 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 821459348640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754099867520).

821459348640 is an abundant number, since it is smaller than the sum of its proper divisors (2686740386400).

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

821459348640 is a wasteful number, since it uses less digits than its factorization.

821459348640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 821459348640 in words is "eight hundred twenty-one billion, four hundred fifty-nine million, three hundred forty-eight thousand, six hundred forty".