468744087024 has 160 divisors (see below), whose sum is σ = 1363798425600. Its totient is φ = 154123257600.

The previous prime is 468744086977. The next prime is 468744087059. The reversal of 468744087024 is 420780447864.

468744087024 is a `hidden beast` number, since 46 + 87 + 440 + 87 + 0 + 2 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39275362 + ... + 39287294.

It is an arithmetic number, because the mean of its divisors is an integer number (8523740160).

Almost surely, 2^468744087024 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 468744087024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681899212800).

468744087024 is an abundant number, since it is smaller than the sum of its proper divisors (895054338576).

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

468744087024 is a wasteful number, since it uses less digits than its factorization.

468744087024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13180 (or 13168 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 54.

The spelling of 468744087024 in words is "four hundred sixty-eight billion, seven hundred forty-four million, eighty-seven thousand, twenty-four".