68575896900 has 729 divisors, whose sum is σ = 265122575991. Its totient is φ = 14782037760.

The previous prime is 68575896869. The next prime is 68575896919. The reversal of 68575896900 is 969857586.

The square root of 68575896900 is 261870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 942612804 + 67633284096 = 30702^2 + 260064^2 .

It is a super-2 number, since 2×68575896900² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1594788279 + ... + 1594788321.

Almost surely, 2^68575896900 is an apocalyptic number.

68575896900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

68575896900 is the 261870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68575896900

68575896900 is an abundant number, since it is smaller than the sum of its proper divisors (196546679091).

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

68575896900 is a wasteful number, since it uses less digits than its factorization.

68575896900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 68575896900 in words is "sixty-eight billion, five hundred seventy-five million, eight hundred ninety-six thousand, nine hundred".