755475729120 has 768 divisors, whose sum is σ = 3241099008000. Its totient is φ = 160498630656.

The previous prime is 755475729109. The next prime is 755475729133. The reversal of 755475729120 is 21927574557.

755475729120 is a `hidden beast` number, since 7 + 5 + 5 + 47 + 572 + 9 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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, 30439276 + ... + 30464084.

It is an arithmetic number, because the mean of its divisors is an integer number (4220181000).

Almost surely, 2^755475729120 is an apocalyptic number.

755475729120 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 755475729120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620549504000).

755475729120 is an abundant number, since it is smaller than the sum of its proper divisors (2485623278880).

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

755475729120 is a wasteful number, since it uses less digits than its factorization.

755475729120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24912 (or 24898 counting only the distinct ones).

The product of its (nonzero) digits is 6174000, while the sum is 54.

The spelling of 755475729120 in words is "seven hundred fifty-five billion, four hundred seventy-five million, seven hundred twenty-nine thousand, one hundred twenty".