468776017620 has 576 divisors, whose sum is σ = 1645443072000. Its totient is φ = 107241615360.

The previous prime is 468776017579. The next prime is 468776017691. The reversal of 468776017620 is 26710677864.

468776017620 is a `hidden beast` number, since 4 + 6 + 8 + 7 + 7 + 6 + 0 + 1 + 7 + 620 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 358665007 + ... + 358666313.

It is an arithmetic number, because the mean of its divisors is an integer number (2856672000).

Almost surely, 2^468776017620 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 468776017620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822721536000).

468776017620 is an abundant number, since it is smaller than the sum of its proper divisors (1176667054380).

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

468776017620 is a wasteful number, since it uses less digits than its factorization.

468776017620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 468776017620 in words is "four hundred sixty-eight billion, seven hundred seventy-six million, seventeen thousand, six hundred twenty".