4720900681728 has 936 divisors, whose sum is σ = 17602611024960. Its totient is φ = 1205125447680.

The previous prime is 4720900681697. The next prime is 4720900681741. The reversal of 4720900681728 is 8271860090274.

It is a happy number.

4720900681728 is a `hidden beast` number, since 472 + 0 + 90 + 0 + 6 + 81 + 7 + 2 + 8 = 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 71 ways as a sum of consecutive naturals, for example, 1172310051 + ... + 1172314077.

It is an arithmetic number, because the mean of its divisors is an integer number (18806208360).

Almost surely, 2^{4720900681728} is an apocalyptic number.

4720900681728 is a gapful number since it is divisible by the number (48) 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 4720900681728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8801305512480).

4720900681728 is an abundant number, since it is smaller than the sum of its proper divisors (12881710343232).

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

4720900681728 is a wasteful number, since it uses less digits than its factorization.

4720900681728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 4720900681728 in words is "four trillion, seven hundred twenty billion, nine hundred million, six hundred eighty-one thousand, seven hundred twenty-eight".