321477676320 has 384 divisors, whose sum is σ = 1049971507200. Its totient is φ = 82634452992.

The previous prime is 321477676297. The next prime is 321477676321. The reversal of 321477676320 is 23676774123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 321477676320.

It is not an unprimeable number, because it can be changed into a prime (321477676321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 587710287 + ... + 587710833.

It is an arithmetic number, because the mean of its divisors is an integer number (2734300800).

Almost surely, 2^321477676320 is an apocalyptic number.

321477676320 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 321477676320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524985753600).

321477676320 is an abundant number, since it is smaller than the sum of its proper divisors (728493830880).

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

321477676320 is a wasteful number, since it uses less digits than its factorization.

321477676320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 48.

The spelling of 321477676320 in words is "three hundred twenty-one billion, four hundred seventy-seven million, six hundred seventy-six thousand, three hundred twenty".