484768761750 has 384 divisors, whose sum is σ = 1617826129920. Its totient is φ = 101994681600.

The previous prime is 484768761739. The next prime is 484768761779. The reversal of 484768761750 is 57167867484.

484768761750 is a `hidden beast` number, since 4 + 8 + 4 + 7 + 6 + 8 + 7 + 617 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77597127 + ... + 77603373.

It is an arithmetic number, because the mean of its divisors is an integer number (4213088880).

Almost surely, 2^484768761750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484768761750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808913064960).

484768761750 is an abundant number, since it is smaller than the sum of its proper divisors (1133057368170).

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

484768761750 is a wasteful number, since it uses less digits than its factorization.

484768761750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6669 (or 6656 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 484768761750 in words is "four hundred eighty-four billion, seven hundred sixty-eight million, seven hundred sixty-one thousand, seven hundred fifty".