4935757680 has 960 divisors, whose sum is σ = 21838602240. Its totient is φ = 1010009088.

The previous prime is 4935757663. The next prime is 4935757733. The reversal of 4935757680 is 867575394.

4935757680 is a `hidden beast` number, since 4 + 9 + 3 + 575 + 7 + 68 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59466919 + ... + 59467001.

It is an arithmetic number, because the mean of its divisors is an integer number (22748544).

Almost surely, 2^4935757680 is an apocalyptic number.

4935757680 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 4935757680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10919301120).

4935757680 is an abundant number, since it is smaller than the sum of its proper divisors (16902844560).

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

4935757680 is a wasteful number, since it uses less digits than its factorization.

4935757680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The square root of 4935757680 is about 70254.9477261210. The cubic root of 4935757680 is about 1702.6208340560.

The spelling of 4935757680 in words is "four billion, nine hundred thirty-five million, seven hundred fifty-seven thousand, six hundred eighty".