4632075136 has 128 divisors (see below), whose sum is σ = 10574625600. Its totient is φ = 2002157568.

The previous prime is 4632075101. The next prime is 4632075169. The reversal of 4632075136 is 6315702364.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4632075136² = 42912240131098836992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4632075095 and 4632075104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10551205 + ... + 10551643.

Almost surely, 2^4632075136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4632075136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5287312800).

4632075136 is an abundant number, since it is smaller than the sum of its proper divisors (5942550464).

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

4632075136 is a wasteful number, since it uses less digits than its factorization.

4632075136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The square root of 4632075136 is about 68059.3500997475. The cubic root of 4632075136 is about 1666.9600757747.

The spelling of 4632075136 in words is "four billion, six hundred thirty-two million, seventy-five thousand, one hundred thirty-six".