464654374700568 has 1024 divisors, whose sum is σ = 1418372020961280. Its totient is φ = 125388568166400.

The previous prime is 464654374700543. The next prime is 464654374700587. The reversal of 464654374700568 is 865007473456464.

It is a super-3 number, since 3×464654374700568³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 478531796323 + ... + 478531797293.

It is an arithmetic number, because the mean of its divisors is an integer number (1385128926720).

Almost surely, 2^{464654374700568} 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 464654374700568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709186010480640).

464654374700568 is an abundant number, since it is smaller than the sum of its proper divisors (953717646260712).

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

464654374700568 is a wasteful number, since it uses less digits than its factorization.

464654374700568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 1625702400, while the sum is 69.

The spelling of 464654374700568 in words is "four hundred sixty-four trillion, six hundred fifty-four billion, three hundred seventy-four million, seven hundred thousand, five hundred sixty-eight".