4660757760 has 288 divisors, whose sum is σ = 15823503360. Its totient is φ = 1165860864.

The previous prime is 4660757747. The next prime is 4660757767. The reversal of 4660757760 is 677570664.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4660757767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9265669 + ... + 9266171.

It is an arithmetic number, because the mean of its divisors is an integer number (54942720).

Almost surely, 2^4660757760 is an apocalyptic number.

4660757760 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 4660757760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7911751680).

4660757760 is an abundant number, since it is smaller than the sum of its proper divisors (11162745600).

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

4660757760 is a wasteful number, since it uses less digits than its factorization.

4660757760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The square root of 4660757760 is about 68269.7426390345. The cubic root of 4660757760 is about 1670.3937016248.

The spelling of 4660757760 in words is "four billion, six hundred sixty million, seven hundred fifty-seven thousand, seven hundred sixty".