752638068 has 288 divisors, whose sum is σ = 2483912704. Its totient is φ = 193995648.

The previous prime is 752638067. The next prime is 752638079. The reversal of 752638068 is 860836257.

752638068 is a `hidden beast` number, since 7 + 5 + 2 + 638 + 0 + 6 + 8 = 666.

752638068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×752638068² = 1132928122805545248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752638067) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5926221 + ... + 5926347.

Almost surely, 2^752638068 is an apocalyptic number.

752638068 is a gapful number since it is divisible by the number (78) 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 752638068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241956352).

752638068 is an abundant number, since it is smaller than the sum of its proper divisors (1731274636).

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

752638068 is a wasteful number, since it uses less digits than its factorization.

752638068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 752638068 is about 27434.2499077339. The cubic root of 752638068 is about 909.6243137868.

The spelling of 752638068 in words is "seven hundred fifty-two million, six hundred thirty-eight thousand, sixty-eight".