4764705325560 has 384 divisors, whose sum is σ = 16278234336000. Its totient is φ = 1207050743808.

The previous prime is 4764705325547. The next prime is 4764705325661. The reversal of 4764705325560 is 655235074674.

4764705325560 is a `hidden beast` number, since 4 + 7 + 6 + 4 + 7 + 0 + 53 + 25 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4764705325497 and 4764705325506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241644822 + ... + 241664538.

It is an arithmetic number, because the mean of its divisors is an integer number (42391235250).

Almost surely, 2^{4764705325560} is an apocalyptic number.

4764705325560 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 4764705325560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8139117168000).

4764705325560 is an abundant number, since it is smaller than the sum of its proper divisors (11513529010440).

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

4764705325560 is a wasteful number, since it uses less digits than its factorization.

4764705325560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20135 (or 20128 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 54.

The spelling of 4764705325560 in words is "four trillion, seven hundred sixty-four billion, seven hundred five million, three hundred twenty-five thousand, five hundred sixty".