468619704000 has 1344 divisors, whose sum is σ = 1990689472512. Its totient is φ = 103016448000.

The previous prime is 468619703999. The next prime is 468619704011. The reversal of 468619704000 is 407916864.

468619704000 is a `hidden beast` number, since 468 + 61 + 97 + 0 + 40 + 0 + 0 = 666.

468619704000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1729223865 + ... + 1729224135.

Almost surely, 2^468619704000 is an apocalyptic number.

468619704000 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 468619704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995344736256).

468619704000 is an abundant number, since it is smaller than the sum of its proper divisors (1522069768512).

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

468619704000 is a wasteful number, since it uses less digits than its factorization.

468619704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 468619704000 in words is "four hundred sixty-eight billion, six hundred nineteen million, seven hundred four thousand".