469268017680 has 1440 divisors, whose sum is σ = 2075165930880. Its totient is φ = 86858956800.

The previous prime is 469268017679. The next prime is 469268017709. The reversal of 469268017680 is 86710862964.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 469268017680.

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, 459615570 + ... + 459616590.

It is an arithmetic number, because the mean of its divisors is an integer number (1441087452).

Almost surely, 2^469268017680 is an apocalyptic number.

469268017680 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 469268017680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037582965440).

469268017680 is an abundant number, since it is smaller than the sum of its proper divisors (1605897913200).

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

469268017680 is a wasteful number, since it uses less digits than its factorization.

469268017680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 469268017680 in words is "four hundred sixty-nine billion, two hundred sixty-eight million, seventeen thousand, six hundred eighty".