755180464896 has 1440 divisors, whose sum is σ = 2854016073216. Its totient is φ = 195084288000.

The previous prime is 755180464877. The next prime is 755180464937. The reversal of 755180464896 is 698464081557.

755180464896 is a `hidden beast` number, since 7 + 5 + 5 + 1 + 80 + 464 + 8 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3579054231 + ... + 3579054441.

Almost surely, 2^755180464896 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 755180464896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427008036608).

755180464896 is an abundant number, since it is smaller than the sum of its proper divisors (2098835608320).

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

755180464896 is a wasteful number, since it uses less digits than its factorization.

755180464896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 755180464896 in words is "seven hundred fifty-five billion, one hundred eighty million, four hundred sixty-four thousand, eight hundred ninety-six".