469678830454080 has 560 divisors, whose sum is σ = 1799370421297680. Its totient is φ = 115605380431872.

The previous prime is 469678830454079. The next prime is 469678830454109. The reversal of 469678830454080 is 80454038876964.

469678830454080 is a `hidden beast` number, since 4 + 6 + 9 + 6 + 78 + 8 + 3 + 0 + 4 + 540 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 44122859390016 + 425555971064064 = 6642504^2 + 20629008^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6122187882 + ... + 6122264598.

It is an arithmetic number, because the mean of its divisors is an integer number (3213161466603).

Almost surely, 2^{469678830454080} is an apocalyptic number.

469678830454080 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 469678830454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899685210648840).

469678830454080 is an abundant number, since it is smaller than the sum of its proper divisors (1329691590843600).

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

469678830454080 is a wasteful number, since it uses less digits than its factorization.

469678830454080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94928 (or 94909 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 469678830454080 in words is "four hundred sixty-nine trillion, six hundred seventy-eight billion, eight hundred thirty million, four hundred fifty-four thousand, eighty".