755531464896 has 336 divisors, whose sum is σ = 2427699081600. Its totient is φ = 230289067008.

The previous prime is 755531464837. The next prime is 755531464903. The reversal of 755531464896 is 698464135557.

It is a happy number.

755531464896 is a `hidden beast` number, since 7 + 5 + 5 + 5 + 3 + 146 + 489 + 6 = 666.

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 47 ways as a sum of consecutive naturals, for example, 31235335 + ... + 31259513.

Almost surely, 2^755531464896 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 755531464896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213849540800).

755531464896 is an abundant number, since it is smaller than the sum of its proper divisors (1672167616704).

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

755531464896 is a wasteful number, since it uses less digits than its factorization.

755531464896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24333 (or 24304 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 755531464896 in words is "seven hundred fifty-five billion, five hundred thirty-one million, four hundred sixty-four thousand, eight hundred ninety-six".