469661068800 has 2880 divisors, whose sum is σ = 2273983455744. Its totient is φ = 93162700800.

The previous prime is 469661068771. The next prime is 469661068813. The reversal of 469661068800 is 8860166964.

469661068800 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 (2880).

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 287 ways as a sum of consecutive naturals, for example, 8861529574 + ... + 8861529626.

Almost surely, 2^469661068800 is an apocalyptic number.

469661068800 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 469661068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136991727872).

469661068800 is an abundant number, since it is smaller than the sum of its proper divisors (1804322386944).

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

469661068800 is a wasteful number, since it uses less digits than its factorization.

469661068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 469661068800 in words is "four hundred sixty-nine billion, six hundred sixty-one million, sixty-eight thousand, eight hundred".