4606763934080 has 512 divisors, whose sum is σ = 13994773401600. Its totient is φ = 1408482017280.

The previous prime is 4606763934079. The next prime is 4606763934121. The reversal of 4606763934080 is 804393676064.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 611216072 + ... + 611223608.

It is an arithmetic number, because the mean of its divisors is an integer number (27333541800).

Almost surely, 2^{4606763934080} is an apocalyptic number.

4606763934080 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 4606763934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6997386700800).

4606763934080 is an abundant number, since it is smaller than the sum of its proper divisors (9388009467520).

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

4606763934080 is a wasteful number, since it uses less digits than its factorization.

4606763934080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7810 (or 7798 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 56.

The spelling of 4606763934080 in words is "four trillion, six hundred six billion, seven hundred sixty-three million, nine hundred thirty-four thousand, eighty".