754804960560 has 800 divisors, whose sum is σ = 3054449502720. Its totient is φ = 169188839424.

The previous prime is 754804960529. The next prime is 754804960607. The reversal of 754804960560 is 65069408457.

754804960560 is a `hidden beast` number, since 7 + 5 + 480 + 49 + 60 + 5 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 754804960497 and 754804960506.

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 159 ways as a sum of consecutive naturals, for example, 933009436 + ... + 933010244.

Almost surely, 2^754804960560 is an apocalyptic number.

754804960560 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 754804960560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527224751360).

754804960560 is an abundant number, since it is smaller than the sum of its proper divisors (2299644542160).

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

754804960560 is a wasteful number, since it uses less digits than its factorization.

754804960560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 754804960560 in words is "seven hundred fifty-four billion, eight hundred four million, nine hundred sixty thousand, five hundred sixty".