68738352400 has 45 divisors (see below), whose sum is σ = 165156490351. Its totient is φ = 27493243520.

The previous prime is 68738352379. The next prime is 68738352407. The reversal of 68738352400 is 425383786.

The square root of 68738352400 is 262180.

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 4555170064 + 64183182336 = 67492^2 + 253344^2 .

It is a super-2 number, since 2×68738352400² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68738352407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5237046 + ... + 5250154.

Almost surely, 2^68738352400 is an apocalyptic number.

68738352400 is the 262180-th square number.

It is an amenable number.

68738352400 is an abundant number, since it is smaller than the sum of its proper divisors (96418137951).

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

68738352400 is an frugal number, since it uses more digits than its factorization.

68738352400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26236 (or 13116 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 68738352400 in words is "sixty-eight billion, seven hundred thirty-eight million, three hundred fifty-two thousand, four hundred".