4758422760 has 320 divisors, whose sum is σ = 19685635200. Its totient is φ = 1003912704.

The previous prime is 4758422749. The next prime is 4758422761. The reversal of 4758422760 is 672248574.

It is a happy number.

4758422760 is a `hidden beast` number, since 4 + 7 + 584 + 2 + 2 + 7 + 60 = 666.

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 (4758422761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 286771 + ... + 302909.

It is an arithmetic number, because the mean of its divisors is an integer number (61517610).

Almost surely, 2^4758422760 is an apocalyptic number.

4758422760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4758422760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9842817600).

4758422760 is an abundant number, since it is smaller than the sum of its proper divisors (14927212440).

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

4758422760 is a wasteful number, since it uses less digits than its factorization.

4758422760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16182 (or 16169 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 4758422760 is about 68981.3218197506. The cubic root of 4758422760 is about 1681.9806995758.

The spelling of 4758422760 in words is "four billion, seven hundred fifty-eight million, four hundred twenty-two thousand, seven hundred sixty".