4878837607680 has 216 divisors, whose sum is σ = 17768705965920. Its totient is φ = 1232548392960.

The previous prime is 4878837607667. The next prime is 4878837607811. The reversal of 4878837607680 is 867067388784.

4878837607680 is a `hidden beast` number, since 4 + 8 + 7 + 8 + 8 + 3 + 7 + 607 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×4878837607680² (a number of 26 digits) contains 22 as substring.

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 = 4878837607599 and 4878837607608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10926126 + ... + 11363885.

It is an arithmetic number, because the mean of its divisors is an integer number (82262527620).

Almost surely, 2^{4878837607680} is an apocalyptic number.

4878837607680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4878837607680 is an abundant number, since it is smaller than the sum of its proper divisors (12889868358240).

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

4878837607680 is a wasteful number, since it uses less digits than its factorization.

4878837607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22290057 (or 22290040 counting only the distinct ones).

The product of its (nonzero) digits is 606928896, while the sum is 72.

The spelling of 4878837607680 in words is "four trillion, eight hundred seventy-eight billion, eight hundred thirty-seven million, six hundred seven thousand, six hundred eighty".