468754212672 has 448 divisors, whose sum is σ = 1517779641600. Its totient is φ = 141203865600.

The previous prime is 468754212613. The next prime is 468754212761. The reversal of 468754212672 is 276212457864.

468754212672 is a `hidden beast` number, since 4 + 6 + 8 + 7 + 542 + 1 + 26 + 72 = 666.

468754212672 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 164416047 + ... + 164418897.

Almost surely, 2^468754212672 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 468754212672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758889820800).

468754212672 is an abundant number, since it is smaller than the sum of its proper divisors (1049025428928).

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

468754212672 is a wasteful number, since it uses less digits than its factorization.

468754212672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111 (or 3095 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 468754212672 in words is "four hundred sixty-eight billion, seven hundred fifty-four million, two hundred twelve thousand, six hundred seventy-two".