4927406935680 has 768 divisors, whose sum is σ = 18431167472640. Its totient is φ = 1209845514240.

The previous prime is 4927406935639. The next prime is 4927406935723. The reversal of 4927406935680 is 865396047294.

4927406935680 is a `hidden beast` number, since 4 + 9 + 2 + 7 + 4 + 0 + 69 + 3 + 568 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 379813674 + ... + 379826646.

It is an arithmetic number, because the mean of its divisors is an integer number (23998915980).

Almost surely, 2^{4927406935680} is an apocalyptic number.

4927406935680 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 4927406935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9215583736320).

4927406935680 is an abundant number, since it is smaller than the sum of its proper divisors (13503760536960).

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

4927406935680 is a wasteful number, since it uses less digits than its factorization.

4927406935680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13129 (or 13114 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 4927406935680 in words is "four trillion, nine hundred twenty-seven billion, four hundred six million, nine hundred thirty-five thousand, six hundred eighty".