4735761408 has 198 divisors, whose sum is σ = 15908481576. Its totient is φ = 1352945664.

The previous prime is 4735761403. The next prime is 4735761439. The reversal of 4735761408 is 8041675374.

4735761408 is a `hidden beast` number, since 4 + 73 + 576 + 1 + 4 + 0 + 8 = 666.

It is a super-2 number, since 2×4735761408² = 44854872227004284928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4735761403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 446341 + ... + 456827.

Almost surely, 2^4735761408 is an apocalyptic number.

4735761408 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 4735761408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7954240788).

4735761408 is an abundant number, since it is smaller than the sum of its proper divisors (11172720168).

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

4735761408 is a wasteful number, since it uses less digits than its factorization.

4735761408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10527 (or 10499 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 4735761408 is about 68816.8686297190. The cubic root of 4735761408 is about 1679.3063803321.

The spelling of 4735761408 in words is "four billion, seven hundred thirty-five million, seven hundred sixty-one thousand, four hundred eight".