468970575744 has 128 divisors (see below), whose sum is σ = 1379232478080. Its totient is φ = 139991132160.

The previous prime is 468970575743. The next prime is 468970575757. The reversal of 468970575744 is 447575079864.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468970575743) by changing a digit.

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, 545539 + ... + 1111554.

It is an arithmetic number, because the mean of its divisors is an integer number (10775253735).

Almost surely, 2^468970575744 is an apocalyptic number.

468970575744 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

468970575744 is an abundant number, since it is smaller than the sum of its proper divisors (910261902336).

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

468970575744 is a wasteful number, since it uses less digits than its factorization.

468970575744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657188 (or 1657176 counting only the distinct ones).

The product of its (nonzero) digits is 237081600, while the sum is 66.

The spelling of 468970575744 in words is "four hundred sixty-eight billion, nine hundred seventy million, five hundred seventy-five thousand, seven hundred forty-four".