755493697728 has 840 divisors, whose sum is σ = 2853029352096. Its totient is φ = 193461903360.

The previous prime is 755493697727. The next prime is 755493697741. The reversal of 755493697728 is 827796394557.

755493697728 is a `hidden beast` number, since 7 + 5 + 5 + 493 + 69 + 7 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (755493697727) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 320530726 + ... + 320533082.

Almost surely, 2^755493697728 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 755493697728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426514676048).

755493697728 is an abundant number, since it is smaller than the sum of its proper divisors (2097535654368).

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

755493697728 is a wasteful number, since it uses less digits than its factorization.

755493697728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2453 counting only the distinct ones).

The product of its digits is 800150400, while the sum is 72.

The spelling of 755493697728 in words is "seven hundred fifty-five billion, four hundred ninety-three million, six hundred ninety-seven thousand, seven hundred twenty-eight".