755006016000 has 320 divisors, whose sum is σ = 2578073921280. Its totient is φ = 195891609600.

The previous prime is 755006015987. The next prime is 755006016043. The reversal of 755006016000 is 610600557.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7050861 + ... + 7157139.

It is an arithmetic number, because the mean of its divisors is an integer number (8056481004).

Almost surely, 2^755006016000 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 755006016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289036960640).

755006016000 is an abundant number, since it is smaller than the sum of its proper divisors (1823067905280).

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

755006016000 is a wasteful number, since it uses less digits than its factorization.

755006016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106352 (or 106326 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

Adding to 755006016000 its reverse (610600557), we get a palindrome (755616616557).

The spelling of 755006016000 in words is "seven hundred fifty-five billion, six million, sixteen thousand".