4629484085760 has 480 divisors, whose sum is σ = 16986623322240. Its totient is φ = 1161205776384.

The previous prime is 4629484085719. The next prime is 4629484085791. The reversal of 4629484085760 is 675804849264.

4629484085760 is a `hidden beast` number, since 4 + 6 + 2 + 9 + 484 + 0 + 85 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1010140429 + ... + 1010145011.

It is an arithmetic number, because the mean of its divisors is an integer number (35388798588).

Almost surely, 2^{4629484085760} is an apocalyptic number.

4629484085760 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 4629484085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8493311661120).

4629484085760 is an abundant number, since it is smaller than the sum of its proper divisors (12357139236480).

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

4629484085760 is a wasteful number, since it uses less digits than its factorization.

4629484085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7208 (or 7189 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 4629484085760 in words is "four trillion, six hundred twenty-nine billion, four hundred eighty-four million, eighty-five thousand, seven hundred sixty".