468028552680 has 480 divisors, whose sum is σ = 1793104711200. Its totient is φ = 109141074432.

The previous prime is 468028552643. The next prime is 468028552703. The reversal of 468028552680 is 86255820864.

It is a happy number.

468028552680 is a `hidden beast` number, since 4 + 6 + 8 + 0 + 2 + 8 + 552 + 6 + 80 = 666.

It is a super-2 number, since 2×468028552680² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10381147 + ... + 10426133.

It is an arithmetic number, because the mean of its divisors is an integer number (3735634815).

Almost surely, 2^468028552680 is an apocalyptic number.

468028552680 is a gapful number since it is divisible by the number (40) 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 468028552680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896552355600).

468028552680 is an abundant number, since it is smaller than the sum of its proper divisors (1325076158520).

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

468028552680 is a wasteful number, since it uses less digits than its factorization.

468028552680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45055 (or 45029 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 468028552680 in words is "four hundred sixty-eight billion, twenty-eight million, five hundred fifty-two thousand, six hundred eighty".