506755881632 has 576 divisors, whose sum is σ = 1408798137600. Its totient is φ = 176272588800.

The previous prime is 506755881589. The next prime is 506755881641. The reversal of 506755881632 is 236188557605.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1829443478 + ... + 1829443754.

It is an arithmetic number, because the mean of its divisors is an integer number (2445830100).

Almost surely, 2^506755881632 is an apocalyptic number.

506755881632 is a gapful number since it is divisible by the number (52) 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 506755881632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704399068800).

506755881632 is an abundant number, since it is smaller than the sum of its proper divisors (902042255968).

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

506755881632 is a wasteful number, since it uses less digits than its factorization.

506755881632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 56.

The spelling of 506755881632 in words is "five hundred six billion, seven hundred fifty-five million, eight hundred eighty-one thousand, six hundred thirty-two".