68764572900 has 81 divisors (see below), whose sum is σ = 215563394683. Its totient is φ = 18335121600.

The previous prime is 68764572871. The next prime is 68764572907. The reversal of 68764572900 is 927546786.

The square root of 68764572900 is 262230.

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

68764572900 is a `hidden beast` number, since 6 + 8 + 7 + 64 + 572 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14947996644 + 53816576256 = 122262^2 + 231984^2 .

It is a super-2 number, since 2×68764572900² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68764572907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7862530 + ... + 7871270.

Almost surely, 2^68764572900 is an apocalyptic number.

68764572900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

68764572900 is the 262230-th square number.

It is an amenable number.

68764572900 is an abundant number, since it is smaller than the sum of its proper divisors (146798821783).

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

68764572900 is an equidigital number, since it uses as much as digits as its factorization.

68764572900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17502 (or 8751 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 68764572900 in words is "sixty-eight billion, seven hundred sixty-four million, five hundred seventy-two thousand, nine hundred".