755484201216 has 216 divisors, whose sum is σ = 2191607754336. Its totient is φ = 250288128000.

The previous prime is 755484201187. The next prime is 755484201217. The reversal of 755484201216 is 612102484557.

755484201216 is a `hidden beast` number, since 7 + 5 + 5 + 4 + 8 + 420 + 1 + 216 = 666.

It is not an unprimeable number, because it can be changed into a prime (755484201217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342933171 + ... + 342935373.

It is an arithmetic number, because the mean of its divisors is an integer number (10146332196).

Almost surely, 2^755484201216 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 755484201216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095803877168).

755484201216 is an abundant number, since it is smaller than the sum of its proper divisors (1436123553120).

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

755484201216 is a wasteful number, since it uses less digits than its factorization.

755484201216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3069 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 755484201216 in words is "seven hundred fifty-five billion, four hundred eighty-four million, two hundred one thousand, two hundred sixteen".