755272358400 has 720 divisors, whose sum is σ = 2939658099840. Its totient is φ = 170414899200.

The previous prime is 755272358369. The next prime is 755272358411. The reversal of 755272358400 is 4853272557.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 755272358400.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 148643860 + ... + 148648940.

It is an arithmetic number, because the mean of its divisors is an integer number (4082858472).

Almost surely, 2^755272358400 is an apocalyptic number.

755272358400 is a gapful number since it is divisible by the number (70) 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 755272358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469829049920).

755272358400 is an abundant number, since it is smaller than the sum of its proper divisors (2184385741440).

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

755272358400 is a wasteful number, since it uses less digits than its factorization.

755272358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5205 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 48.

The spelling of 755272358400 in words is "seven hundred fifty-five billion, two hundred seventy-two million, three hundred fifty-eight thousand, four hundred".