4765476240 has 400 divisors, whose sum is σ = 19531607040. Its totient is φ = 1053803520.

The previous prime is 4765476229. The next prime is 4765476263. The reversal of 4765476240 is 426745674.

4765476240 is a `hidden beast` number, since 4 + 7 + 6 + 547 + 62 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1404466 + ... + 1407854.

Almost surely, 2^4765476240 is an apocalyptic number.

4765476240 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 4765476240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9765803520).

4765476240 is an abundant number, since it is smaller than the sum of its proper divisors (14766130800).

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

4765476240 is a wasteful number, since it uses less digits than its factorization.

4765476240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The square root of 4765476240 is about 69032.4289012056. The cubic root of 4765476240 is about 1682.8113641801.

The spelling of 4765476240 in words is "four billion, seven hundred sixty-five million, four hundred seventy-six thousand, two hundred forty".