4577681509632 has 1152 divisors, whose sum is σ = 17573381898240. Its totient is φ = 1150151270400.

The previous prime is 4577681509627. The next prime is 4577681509669. The reversal of 4577681509632 is 2369051867754.

4577681509632 is a `hidden beast` number, since 4 + 5 + 7 + 7 + 68 + 1 + 509 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 4577681509632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1996371078 + ... + 1996373370.

It is a 1-persistent number, because it is pandigital, but 2⋅4577681509632 = 9155363019264 is not.

Almost surely, 2^{4577681509632} is an apocalyptic number.

4577681509632 is a gapful number since it is divisible by the number (42) 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 4577681509632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8786690949120).

4577681509632 is an abundant number, since it is smaller than the sum of its proper divisors (12995700388608).

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

4577681509632 is a wasteful number, since it uses less digits than its factorization.

4577681509632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 4577681509632 in words is "four trillion, five hundred seventy-seven billion, six hundred eighty-one million, five hundred nine thousand, six hundred thirty-two".