321678133740 has 288 divisors, whose sum is σ = 1024245855360. Its totient is φ = 81646387200.

The previous prime is 321678133739. The next prime is 321678133753. The reversal of 321678133740 is 47331876123.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50822896 + ... + 50829224.

It is an arithmetic number, because the mean of its divisors is an integer number (3556409220).

Almost surely, 2^321678133740 is an apocalyptic number.

321678133740 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 321678133740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512122927680).

321678133740 is an abundant number, since it is smaller than the sum of its proper divisors (702567721620).

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

321678133740 is a wasteful number, since it uses less digits than its factorization.

321678133740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6553 (or 6548 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 321678133740 in words is "three hundred twenty-one billion, six hundred seventy-eight million, one hundred thirty-three thousand, seven hundred forty".