4620869959680 has 1344 divisors, whose sum is σ = 18489825392640. Its totient is φ = 1100753141760.

The previous prime is 4620869959679. The next prime is 4620869959703. The reversal of 4620869959680 is 869599680264.

4620869959680 is a `hidden beast` number, since 4 + 6 + 20 + 8 + 6 + 9 + 9 + 596 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4620869959599 and 4620869959608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149060321265 + ... + 149060321295.

It is an arithmetic number, because the mean of its divisors is an integer number (13757310560).

Almost surely, 2^{4620869959680} is an apocalyptic number.

4620869959680 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 4620869959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9244912696320).

4620869959680 is an abundant number, since it is smaller than the sum of its proper divisors (13868955432960).

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

4620869959680 is an frugal number, since it uses more digits than its factorization.

4620869959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 4620869959680 in words is "four trillion, six hundred twenty billion, eight hundred sixty-nine million, nine hundred fifty-nine thousand, six hundred eighty".