321872648832 has 1024 divisors, whose sum is σ = 1206374400000. Its totient is φ = 84130099200.

The previous prime is 321872648777. The next prime is 321872648941. The reversal of 321872648832 is 238846278123.

321872648832 is a `hidden beast` number, since 32 + 1 + 87 + 26 + 488 + 32 = 666.

It is a super-2 number, since 2×321872648832² (a number of 24 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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 127 ways as a sum of consecutive naturals, for example, 698205082 + ... + 698205542.

It is an arithmetic number, because the mean of its divisors is an integer number (1178100000).

Almost surely, 2^321872648832 is an apocalyptic number.

321872648832 is a gapful number since it is divisible by the number (32) 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 321872648832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603187200000).

321872648832 is an abundant number, since it is smaller than the sum of its proper divisors (884501751168).

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

321872648832 is a wasteful number, since it uses less digits than its factorization.

321872648832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 523 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 321872648832 in words is "three hundred twenty-one billion, eight hundred seventy-two million, six hundred forty-eight thousand, eight hundred thirty-two".