321678888960 has 1664 divisors, whose sum is σ = 1331612835840. Its totient is φ = 65116569600.

The previous prime is 321678888907. The next prime is 321678888983. The reversal of 321678888960 is 69888876123.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 321678888891 and 321678888900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6844231657 + ... + 6844231703.

Almost surely, 2^321678888960 is an apocalyptic number.

321678888960 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 321678888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665806417920).

321678888960 is an abundant number, since it is smaller than the sum of its proper divisors (1009933946880).

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

321678888960 is a wasteful number, since it uses less digits than its factorization.

321678888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 66.

The spelling of 321678888960 in words is "three hundred twenty-one billion, six hundred seventy-eight million, eight hundred eighty-eight thousand, nine hundred sixty".