755201664 has 512 divisors, whose sum is σ = 2820096000. Its totient is φ = 194088960.

The previous prime is 755201651. The next prime is 755201719. The reversal of 755201664 is 466102557.

It is a happy number.

755201664 is a `hidden beast` number, since 75 + 520 + 1 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14249062 + ... + 14249114.

It is an arithmetic number, because the mean of its divisors is an integer number (5508000).

Almost surely, 2^755201664 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 755201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410048000).

755201664 is an abundant number, since it is smaller than the sum of its proper divisors (2064894336).

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

755201664 is a wasteful number, since it uses less digits than its factorization.

755201664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 755201664 is about 27480.9327352621. The cubic root of 755201664 is about 910.6559148273.

The spelling of 755201664 in words is "seven hundred fifty-five million, two hundred one thousand, six hundred sixty-four".