4680217097424 has 720 divisors, whose sum is σ = 15253846608000. Its totient is φ = 1335921776640.

The previous prime is 4680217097399. The next prime is 4680217097473. The reversal of 4680217097424 is 4247907120864.

4680217097424 is a `hidden beast` number, since 4 + 68 + 0 + 2 + 1 + 70 + 97 + 424 = 666.

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 143 ways as a sum of consecutive naturals, for example, 13410364002 + ... + 13410364350.

Almost surely, 2^{4680217097424} is an apocalyptic number.

4680217097424 is a gapful number since it is divisible by the number (44) 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 4680217097424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7626923304000).

4680217097424 is an abundant number, since it is smaller than the sum of its proper divisors (10573629510576).

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

4680217097424 is a wasteful number, since it uses less digits than its factorization.

4680217097424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 4680217097424 in words is "four trillion, six hundred eighty billion, two hundred seventeen million, ninety-seven thousand, four hundred twenty-four".