469956003390720 has 6912 divisors, whose sum is σ = 2287603880755200. Its totient is φ = 89378596454400.

The previous prime is 469956003390703. The next prime is 469956003390761. The reversal of 469956003390720 is 27093300659964.

469956003390720 is a `hidden beast` number, since 4 + 69 + 9 + 560 + 0 + 3 + 3 + 9 + 0 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 5280404532436 + ... + 5280404532524.

It is an arithmetic number, because the mean of its divisors is an integer number (330961209600).

Almost surely, 2^{469956003390720} is an apocalyptic number.

469956003390720 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 469956003390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143801940377600).

469956003390720 is an abundant number, since it is smaller than the sum of its proper divisors (1817647877364480).

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

469956003390720 is a wasteful number, since it uses less digits than its factorization.

469956003390720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 63.

The spelling of 469956003390720 in words is "four hundred sixty-nine trillion, nine hundred fifty-six billion, three million, three hundred ninety thousand, seven hundred twenty".