468821333376 has 640 divisors, whose sum is σ = 1573068863520. Its totient is φ = 137355264000.

The previous prime is 468821333363. The next prime is 468821333467. The reversal of 468821333376 is 673333128864.

468821333376 is a `hidden beast` number, since 4 + 68 + 82 + 133 + 3 + 376 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1016965786 + ... + 1016966246.

Almost surely, 2^468821333376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468821333376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786534431760).

468821333376 is an abundant number, since it is smaller than the sum of its proper divisors (1104247530144).

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

468821333376 is a wasteful number, since it uses less digits than its factorization.

468821333376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 755 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 468821333376 in words is "four hundred sixty-eight billion, eight hundred twenty-one million, three hundred thirty-three thousand, three hundred seventy-six".