755397432000 has 336 divisors, whose sum is σ = 2720116910784. Its totient is φ = 200102400000.

The previous prime is 755397431993. The next prime is 755397432017. The reversal of 755397432000 is 234793557.

755397432000 is a `hidden beast` number, since 7 + 55 + 397 + 4 + 3 + 200 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10837260 + ... + 10906740.

It is an arithmetic number, because the mean of its divisors is an integer number (8095586044).

Almost surely, 2^755397432000 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 755397432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360058455392).

755397432000 is an abundant number, since it is smaller than the sum of its proper divisors (1964719478784).

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

755397432000 is a wasteful number, since it uses less digits than its factorization.

755397432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69665 (or 69642 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 755397432000 in words is "seven hundred fifty-five billion, three hundred ninety-seven million, four hundred thirty-two thousand".