67696199172900 has 81 divisors (see below), whose sum is σ = 212190749094961. Its totient is φ = 18052253957280.

The previous prime is 67696199172881. The next prime is 67696199172941. The reversal of 67696199172900 is 927199169676.

It is a happy number.

The square root of 67696199172900 is 8227770.

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

67696199172900 is a `hidden beast` number, since 67 + 6 + 96 + 199 + 1 + 7 + 290 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24370631702244 + 43325567470656 = 4936662^2 + 6582216^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 246695971 + ... + 246970229.

Almost surely, 2^{67696199172900} is an apocalyptic number.

67696199172900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

67696199172900 is the 8227770-th square number.

It is an amenable number.

67696199172900 is an abundant number, since it is smaller than the sum of its proper divisors (144494549922061).

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

67696199172900 is an frugal number, since it uses more digits than its factorization.

67696199172900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548538 (or 274269 counting only the distinct ones).

The product of its (nonzero) digits is 138883248, while the sum is 72.

The spelling of 67696199172900 in words is "sixty-seven trillion, six hundred ninety-six billion, one hundred ninety-nine million, one hundred seventy-two thousand, nine hundred".