4775370624 has 192 divisors, whose sum is σ = 14607216000. Its totient is φ = 1493185536.

The previous prime is 4775370599. The next prime is 4775370667. The reversal of 4775370624 is 4260735774.

4775370624 is a `hidden beast` number, since 477 + 53 + 70 + 62 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 4775370624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2340997 + ... + 2343035.

It is an arithmetic number, because the mean of its divisors is an integer number (76079250).

Almost surely, 2^4775370624 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 4775370624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7303608000).

4775370624 is an abundant number, since it is smaller than the sum of its proper divisors (9831845376).

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

4775370624 is a wasteful number, since it uses less digits than its factorization.

4775370624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The square root of 4775370624 is about 69104.0564945358. The cubic root of 4775370624 is about 1683.9752122929.

The spelling of 4775370624 in words is "four billion, seven hundred seventy-five million, three hundred seventy thousand, six hundred twenty-four".