755506008432 has 640 divisors, whose sum is σ = 2695740160000. Its totient is φ = 204436141056.

The previous prime is 755506008431. The next prime is 755506008437. The reversal of 755506008432 is 234800605557.

755506008432 is a `hidden beast` number, since 7 + 5 + 5 + 5 + 0 + 600 + 8 + 4 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755506008431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 228041208 + ... + 228044520.

It is an arithmetic number, because the mean of its divisors is an integer number (4212094000).

Almost surely, 2^755506008432 is an apocalyptic number.

755506008432 is a gapful number since it is divisible by the number (72) 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 755506008432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347870080000).

755506008432 is an abundant number, since it is smaller than the sum of its proper divisors (1940234151568).

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

755506008432 is an equidigital number, since it uses as much as digits as its factorization.

755506008432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3382 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 755506008432 in words is "seven hundred fifty-five billion, five hundred six million, eight thousand, four hundred thirty-two".