4756105620 has 288 divisors, whose sum is σ = 17328729600. Its totient is φ = 1079785728.

The previous prime is 4756105609. The next prime is 4756105633. The reversal of 4756105620 is 265016574.

It is a happy number.

4756105620 is a `hidden beast` number, since 47 + 56 + 1 + 0 + 562 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4577061 + ... + 4578099.

It is an arithmetic number, because the mean of its divisors is an integer number (60169200).

Almost surely, 2^4756105620 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 4756105620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8664364800).

4756105620 is an abundant number, since it is smaller than the sum of its proper divisors (12572623980).

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

4756105620 is a wasteful number, since it uses less digits than its factorization.

4756105620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 4756105620 is about 68964.5243585425. The cubic root of 4756105620 is about 1681.7076386798.

The spelling of 4756105620 in words is "four billion, seven hundred fifty-six million, one hundred five thousand, six hundred twenty".