468690243840 has 1152 divisors, whose sum is σ = 2076834816000. Its totient is φ = 97449246720.

The previous prime is 468690243839. The next prime is 468690243907. The reversal of 468690243840 is 48342096864.

468690243840 is a `hidden beast` number, since 4 + 6 + 86 + 90 + 2 + 438 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 223291111 + ... + 223293209.

It is an arithmetic number, because the mean of its divisors is an integer number (1802808000).

Almost surely, 2^468690243840 is an apocalyptic number.

468690243840 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 468690243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038417408000).

468690243840 is an abundant number, since it is smaller than the sum of its proper divisors (1608144572160).

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

468690243840 is a wasteful number, since it uses less digits than its factorization.

468690243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 468690243840 in words is "four hundred sixty-eight billion, six hundred ninety million, two hundred forty-three thousand, eight hundred forty".