4102746564 has 96 divisors (see below), whose sum is σ = 11107272960. Its totient is φ = 1154469888.

The previous prime is 4102746539. The next prime is 4102746617. The reversal of 4102746564 is 4656472014.

4102746564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2189532 + ... + 2191404.

It is an arithmetic number, because the mean of its divisors is an integer number (115700760).

Almost surely, 2^4102746564 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 4102746564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553636480).

4102746564 is an abundant number, since it is smaller than the sum of its proper divisors (7004526396).

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

4102746564 is a wasteful number, since it uses less digits than its factorization.

4102746564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 4102746564 is about 64052.6858453258. The cubic root of 4102746564 is about 1600.8779769888.

The spelling of 4102746564 in words is "four billion, one hundred two million, seven hundred forty-six thousand, five hundred sixty-four".