4754842560 has 560 divisors, whose sum is σ = 18525963456. Its totient is φ = 1150599168.

The previous prime is 4754842559. The next prime is 4754842571. The reversal of 4754842560 is 652484574.

4754842560 is a `hidden beast` number, since 4 + 7 + 5 + 4 + 84 + 2 + 560 = 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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34706812 + ... + 34706948.

Almost surely, 2^4754842560 is an apocalyptic number.

4754842560 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 4754842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9262981728).

4754842560 is an abundant number, since it is smaller than the sum of its proper divisors (13771120896).

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

4754842560 is a wasteful number, since it uses less digits than its factorization.

4754842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The square root of 4754842560 is about 68955.3664336576. The cubic root of 4754842560 is about 1681.5587573697.

The spelling of 4754842560 in words is "four billion, seven hundred fifty-four million, eight hundred forty-two thousand, five hundred sixty".