4756268160 has 768 divisors, whose sum is σ = 20690691840. Its totient is φ = 1019215872.

The previous prime is 4756268113. The next prime is 4756268161. The reversal of 4756268160 is 618626574.

4756268160 is a `hidden beast` number, since 4 + 7 + 5 + 626 + 8 + 16 + 0 = 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 (4756268161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18506752 + ... + 18507008.

It is an arithmetic number, because the mean of its divisors is an integer number (26941005).

Almost surely, 2^4756268160 is an apocalyptic number.

4756268160 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 4756268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10345345920).

4756268160 is an abundant number, since it is smaller than the sum of its proper divisors (15934423680).

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

4756268160 is a wasteful number, since it uses less digits than its factorization.

4756268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4756268160 is about 68965.7027804401. The cubic root of 4756268160 is about 1681.7267959251.

The spelling of 4756268160 in words is "four billion, seven hundred fifty-six million, two hundred sixty-eight thousand, one hundred sixty".