755647949696640 has 4096 divisors, whose sum is σ = 3525214191206400. Its totient is φ = 132428416942080.

The previous prime is 755647949696609. The next prime is 755647949696677. The reversal of 755647949696640 is 46696949746557.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 243051767406 + ... + 243051770514.

It is an arithmetic number, because the mean of its divisors is an integer number (860647995900).

Almost surely, 2^{755647949696640} is an apocalyptic number.

755647949696640 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 755647949696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762607095603200).

755647949696640 is an abundant number, since it is smaller than the sum of its proper divisors (2769566241509760).

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

755647949696640 is a wasteful number, since it uses less digits than its factorization.

755647949696640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 74071065600, while the sum is 87.

The spelling of 755647949696640 in words is "seven hundred fifty-five trillion, six hundred forty-seven billion, nine hundred forty-nine million, six hundred ninety-six thousand, six hundred forty".