4964280504624 has 640 divisors, whose sum is σ = 18458247168000. Its totient is φ = 1243223396352.

The previous prime is 4964280504581. The next prime is 4964280504629. The reversal of 4964280504624 is 4264050824694.

4964280504624 is a `hidden beast` number, since 4 + 9 + 6 + 4 + 2 + 8 + 0 + 5 + 0 + 4 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4964280504629) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 57585297 + ... + 57671439.

It is an arithmetic number, because the mean of its divisors is an integer number (28841011200).

Almost surely, 2^{4964280504624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4964280504624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9229123584000).

4964280504624 is an abundant number, since it is smaller than the sum of its proper divisors (13493966663376).

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

4964280504624 is a wasteful number, since it uses less digits than its factorization.

4964280504624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86262 (or 86250 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 4964280504624 in words is "four trillion, nine hundred sixty-four billion, two hundred eighty million, five hundred four thousand, six hundred twenty-four".