468899020800 has 1080 divisors, whose sum is σ = 1993653328576. Its totient is φ = 107017666560.

The previous prime is 468899020757. The next prime is 468899020867. The reversal of 468899020800 is 8020998864.

468899020800 is a `hidden beast` number, since 468 + 89 + 9 + 0 + 20 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 696729264 + ... + 696729936.

Almost surely, 2^468899020800 is an apocalyptic number.

468899020800 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 468899020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996826664288).

468899020800 is an abundant number, since it is smaller than the sum of its proper divisors (1524754307776).

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

468899020800 is an frugal number, since it uses more digits than its factorization.

468899020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 468899020800 in words is "four hundred sixty-eight billion, eight hundred ninety-nine million, twenty thousand, eight hundred".