4635957375 has 288 divisors, whose sum is σ = 10700988480. Its totient is φ = 1974067200.

The previous prime is 4635957353. The next prime is 4635957397. The reversal of 4635957375 is 5737595364.

4635957375 is a `hidden beast` number, since 4 + 63 + 5 + 9 + 573 + 7 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (4635957353) and next prime (4635957397).

It is not a de Polignac number, because 4635957375 - 2⁵ = 4635957343 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 47793327 + ... + 47793423.

It is an arithmetic number, because the mean of its divisors is an integer number (37156210).

Almost surely, 2^4635957375 is an apocalyptic number.

4635957375 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4635957375 is an abundant number, since it is smaller than the sum of its proper divisors (6065031105).

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

4635957375 is a wasteful number, since it uses less digits than its factorization.

4635957375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 129 counting only the distinct ones).

The product of its digits is 11907000, while the sum is 54.

The square root of 4635957375 is about 68087.8651082555. The cubic root of 4635957375 is about 1667.4256504248.

The spelling of 4635957375 in words is "four billion, six hundred thirty-five million, nine hundred fifty-seven thousand, three hundred seventy-five".