4757776128 has 648 divisors, whose sum is σ = 17611815312. Its totient is φ = 1226244096.

The previous prime is 4757776117. The next prime is 4757776139. The reversal of 4757776128 is 8216777574.

4757776128 is a `hidden beast` number, since 4 + 7 + 577 + 7 + 61 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4757776117) and next prime (4757776139).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71011551 + ... + 71011617.

Almost surely, 2^4757776128 is an apocalyptic number.

4757776128 is a gapful number since it is divisible by the number (48) 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 4757776128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805907656).

4757776128 is an abundant number, since it is smaller than the sum of its proper divisors (12854039184).

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

4757776128 is a wasteful number, since it uses less digits than its factorization.

4757776128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 133 counting only the distinct ones).

The product of its digits is 4609920, while the sum is 54.

The square root of 4757776128 is about 68976.6346526126. The cubic root of 4757776128 is about 1681.9045068352.

The spelling of 4757776128 in words is "four billion, seven hundred fifty-seven million, seven hundred seventy-six thousand, one hundred twenty-eight".