4756860900 has 405 divisors, whose sum is σ = 17309670105. Its totient is φ = 1092484800.

The previous prime is 4756860883. The next prime is 4756860907. The reversal of 4756860900 is 90686574.

The square root of 4756860900 is 68970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1712469924 + 3044390976 = 41382^2 + 55176^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4756860907) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 250361091 + ... + 250361109.

Almost surely, 2^4756860900 is an apocalyptic number.

4756860900 is the 68970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4756860900

4756860900 is an abundant number, since it is smaller than the sum of its proper divisors (12552809205).

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

4756860900 is a wasteful number, since it uses less digits than its factorization.

4756860900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The cubic root of 4756860900 is about 1681.7966535881.

The spelling of 4756860900 in words is "four billion, seven hundred fifty-six million, eight hundred sixty thousand, nine hundred".