755599680000 has 2400 divisors, whose sum is σ = 3338310298752. Its totient is φ = 162201600000.

The previous prime is 755599679959. The next prime is 755599680029. The reversal of 755599680000 is 86995557.

It is a happy number.

755599680000 is a `hidden beast` number, since 7 + 5 + 559 + 9 + 6 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×755599680000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12386879970 + ... + 12386880030.

Almost surely, 2^755599680000 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 755599680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669155149376).

755599680000 is an abundant number, since it is smaller than the sum of its proper divisors (2582710618752).

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

755599680000 is a wasteful number, since it uses less digits than its factorization.

755599680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 755599680000 in words is "seven hundred fifty-five billion, five hundred ninety-nine million, six hundred eighty thousand".