4631794490880 has 480 divisors, whose sum is σ = 16164489781440. Its totient is φ = 1225681797120.

The previous prime is 4631794490833. The next prime is 4631794490891. The reversal of 4631794490880 is 880944971364.

4631794490880 is a `hidden beast` number, since 4 + 63 + 1 + 7 + 9 + 4 + 490 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 3511594861 + ... + 3511596179.

It is an arithmetic number, because the mean of its divisors is an integer number (33676020378).

Almost surely, 2^{4631794490880} is an apocalyptic number.

4631794490880 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 4631794490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8082244890720).

4631794490880 is an abundant number, since it is smaller than the sum of its proper divisors (11532695290560).

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

4631794490880 is a wasteful number, since it uses less digits than its factorization.

4631794490880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 4631794490880 in words is "four trillion, six hundred thirty-one billion, seven hundred ninety-four million, four hundred ninety thousand, eight hundred eighty".