468577247976 has 224 divisors, whose sum is σ = 1439759059200. Its totient is φ = 142261608960.

The previous prime is 468577247893. The next prime is 468577247989. The reversal of 468577247976 is 679742775864.

468577247976 is a `hidden beast` number, since 4 + 6 + 8 + 577 + 2 + 47 + 9 + 7 + 6 = 666.

It is a super-3 number, since 3×468577247976³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2997235 + ... + 3149693.

It is an arithmetic number, because the mean of its divisors is an integer number (6427495800).

Almost surely, 2^468577247976 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 468577247976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719879529600).

468577247976 is an abundant number, since it is smaller than the sum of its proper divisors (971181811224).

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

468577247976 is a wasteful number, since it uses less digits than its factorization.

468577247976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152531 (or 152512 counting only the distinct ones).

The product of its digits is 995742720, while the sum is 72.

The spelling of 468577247976 in words is "four hundred sixty-eight billion, five hundred seventy-seven million, two hundred forty-seven thousand, nine hundred seventy-six".