4906618837680 has 480 divisors, whose sum is σ = 18648778901760. Its totient is φ = 1061136599040.

The previous prime is 4906618837663. The next prime is 4906618837709. The reversal of 4906618837680 is 867388166094.

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, 181196302 + ... + 181223378.

It is an arithmetic number, because the mean of its divisors is an integer number (38851622712).

Almost surely, 2^{4906618837680} is an apocalyptic number.

4906618837680 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 4906618837680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9324389450880).

4906618837680 is an abundant number, since it is smaller than the sum of its proper divisors (13742160064080).

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

4906618837680 is a wasteful number, since it uses less digits than its factorization.

4906618837680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27937 (or 27924 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 66.

The spelling of 4906618837680 in words is "four trillion, nine hundred six billion, six hundred eighteen million, eight hundred thirty-seven thousand, six hundred eighty".