4706296560 has 320 divisors, whose sum is σ = 18705945600. Its totient is φ = 1065305088.

The previous prime is 4706296559. The next prime is 4706296591. The reversal of 4706296560 is 656926074.

4706296560 is a `hidden beast` number, since 470 + 62 + 9 + 65 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1616386 + ... + 1619294.

It is an arithmetic number, because the mean of its divisors is an integer number (58456080).

Almost surely, 2^4706296560 is an apocalyptic number.

4706296560 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 4706296560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9352972800).

4706296560 is an abundant number, since it is smaller than the sum of its proper divisors (13999649040).

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

4706296560 is a wasteful number, since it uses less digits than its factorization.

4706296560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 4706296560 is about 68602.4530173667. The cubic root of 4706296560 is about 1675.8163760831.

The spelling of 4706296560 in words is "four billion, seven hundred six million, two hundred ninety-six thousand, five hundred sixty".