464252587776 has 144 divisors (see below), whose sum is σ = 1389418974720. Its totient is φ = 152886205440.

The previous prime is 464252587763. The next prime is 464252587793. The reversal of 464252587776 is 677785252464.

464252587776 is a `hidden beast` number, since 4 + 6 + 42 + 5 + 2 + 587 + 7 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169081 + ... + 978311.

It is an arithmetic number, because the mean of its divisors is an integer number (9648742880).

Almost surely, 2^464252587776 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 464252587776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694709487360).

464252587776 is an abundant number, since it is smaller than the sum of its proper divisors (925166386944).

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

464252587776 is an equidigital number, since it uses as much as digits as its factorization.

464252587776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809339 (or 809319 counting only the distinct ones).

The product of its digits is 158054400, while the sum is 63.

The spelling of 464252587776 in words is "four hundred sixty-four billion, two hundred fifty-two million, five hundred eighty-seven thousand, seven hundred seventy-six".