464468650822080 has 1344 divisors, whose sum is σ = 1746731742658560. Its totient is φ = 116162242560000.

The previous prime is 464468650822063. The next prime is 464468650822091. The reversal of 464468650822080 is 80228056864464.

464468650822080 is a `hidden beast` number, since 4 + 6 + 4 + 46 + 8 + 6 + 508 + 2 + 2 + 0 + 80 = 666.

It is a super-2 number, since 2×464468650822080² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 464468650821999 and 464468650822017.

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, 238066965105 + ... + 238066967055.

It is an arithmetic number, because the mean of its divisors is an integer number (1299651594240).

Almost surely, 2^{464468650822080} is an apocalyptic number.

464468650822080 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 464468650822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873365871329280).

464468650822080 is an abundant number, since it is smaller than the sum of its proper divisors (1282263091836480).

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

464468650822080 is a wasteful number, since it uses less digits than its factorization.

464468650822080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 141557760, while the sum is 63.

The spelling of 464468650822080 in words is "four hundred sixty-four trillion, four hundred sixty-eight billion, six hundred fifty million, eight hundred twenty-two thousand, eighty".