321620336640 has 392 divisors, whose sum is σ = 1157340599208. Its totient is φ = 85757460480.

The previous prime is 321620336633. The next prime is 321620336657. The reversal of 321620336640 is 46633026123.

321620336640 is a `hidden beast` number, since 3 + 2 + 1 + 6 + 2 + 0 + 3 + 3 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 321620336595 and 321620336604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 29854455 + ... + 29865225.

Almost surely, 2^321620336640 is an apocalyptic number.

321620336640 is a gapful number since it is divisible by the number (30) 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 321620336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578670299604).

321620336640 is an abundant number, since it is smaller than the sum of its proper divisors (835720262568).

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

321620336640 is an frugal number, since it uses more digits than its factorization.

321620336640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10820 (or 10781 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 321620336640 in words is "three hundred twenty-one billion, six hundred twenty million, three hundred thirty-six thousand, six hundred forty".