4764123540 has 240 divisors, whose sum is σ = 16471534464. Its totient is φ = 1143072000.

The previous prime is 4764123527. The next prime is 4764123541. The reversal of 4764123540 is 453214674.

4764123540 is a `hidden beast` number, since 4 + 7 + 641 + 2 + 3 + 5 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4764123495 and 4764123504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4764123541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1798497 + ... + 1801143.

Almost surely, 2^4764123540 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 4764123540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8235767232).

4764123540 is an abundant number, since it is smaller than the sum of its proper divisors (11707410924).

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

4764123540 is a wasteful number, since it uses less digits than its factorization.

4764123540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4764123540 is about 69022.6306366253. The cubic root of 4764123540 is about 1682.6521248069.

The spelling of 4764123540 in words is "four billion, seven hundred sixty-four million, one hundred twenty-three thousand, five hundred forty".