4749658560 has 336 divisors, whose sum is σ = 17943490656. Its totient is φ = 1191739392.

The previous prime is 4749658553. The next prime is 4749658561. The reversal of 4749658560 is 658569474.

4749658560 is a `hidden beast` number, since 4 + 74 + 9 + 6 + 5 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4749658497 and 4749658506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4749658561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1320124 + ... + 1323716.

It is an arithmetic number, because the mean of its divisors is an integer number (53403246).

Almost surely, 2^4749658560 is an apocalyptic number.

4749658560 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 4749658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8971745328).

4749658560 is an abundant number, since it is smaller than the sum of its proper divisors (13193832096).

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

4749658560 is a wasteful number, since it uses less digits than its factorization.

4749658560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3642 (or 3620 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 4749658560 is about 68917.7666498270. The cubic root of 4749658560 is about 1680.9474247893.

The spelling of 4749658560 in words is "four billion, seven hundred forty-nine million, six hundred fifty-eight thousand, five hundred sixty".