4468984600680 has 384 divisors, whose sum is σ = 15074343648000. Its totient is φ = 1147697295360.

The previous prime is 4468984600669. The next prime is 4468984600727. The reversal of 4468984600680 is 860064898644.

4468984600680 is a `hidden beast` number, since 4 + 4 + 6 + 8 + 98 + 460 + 0 + 6 + 80 = 666.

It is a super-2 number, since 2×4468984600680² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188799886 + ... + 188823554.

It is an arithmetic number, because the mean of its divisors is an integer number (39256103250).

Almost surely, 2^{4468984600680} is an apocalyptic number.

4468984600680 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 4468984600680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7537171824000).

4468984600680 is an abundant number, since it is smaller than the sum of its proper divisors (10605359047320).

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

4468984600680 is a wasteful number, since it uses less digits than its factorization.

4468984600680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23929 (or 23922 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 4468984600680 in words is "four trillion, four hundred sixty-eight billion, nine hundred eighty-four million, six hundred thousand, six hundred eighty".