469267440768 has 512 divisors, whose sum is σ = 1707656256000. Its totient is φ = 123802877952.

The previous prime is 469267440743. The next prime is 469267440791. The reversal of 469267440768 is 867044762964.

469267440768 is a `hidden beast` number, since 4 + 69 + 2 + 67 + 440 + 76 + 8 = 666.

It is a super-3 number, since 3×469267440768³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21786228 + ... + 21807756.

It is an arithmetic number, because the mean of its divisors is an integer number (3335266125).

Almost surely, 2^469267440768 is an apocalyptic number.

469267440768 is a gapful number since it is divisible by the number (48) 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 469267440768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853828128000).

469267440768 is an abundant number, since it is smaller than the sum of its proper divisors (1238388815232).

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

469267440768 is a wasteful number, since it uses less digits than its factorization.

469267440768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21629 (or 21611 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 469267440768 in words is "four hundred sixty-nine billion, two hundred sixty-seven million, four hundred forty thousand, seven hundred sixty-eight".