470049378808320 has 800 divisors, whose sum is σ = 1691343820357488. Its totient is φ = 124768330186752.

The previous prime is 470049378808319. The next prime is 470049378808379. The reversal of 470049378808320 is 23808873940074.

470049378808320 is a `hidden beast` number, since 4 + 70 + 0 + 49 + 378 + 80 + 83 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 429617483110656 + 40431895697664 = 20727216^2 + 6358608^2 .

It is a super-3 number, since 3×470049378808320³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 107488993654 + ... + 107488998026.

Almost surely, 2^{470049378808320} is an apocalyptic number.

470049378808320 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 470049378808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845671910178744).

470049378808320 is an abundant number, since it is smaller than the sum of its proper divisors (1221294441549168).

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

470049378808320 is a wasteful number, since it uses less digits than its factorization.

470049378808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6682 (or 6657 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 470049378808320 in words is "four hundred seventy trillion, forty-nine billion, three hundred seventy-eight million, eight hundred eight thousand, three hundred twenty".