67494275940100 has 81 divisors (see below), whose sum is σ = 147032591644533. Its totient is φ = 26893045033440.

The previous prime is 67494275940089. The next prime is 67494275940107. The reversal of 67494275940100 is 104957249476.

The square root of 67494275940100 is 8215490.

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

It can be written as a sum of positive squares in only one way, i.e., 24297939338436 + 43196336601664 = 4929294^2 + 6572392^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67494275940107) 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, 23249835249 + ... + 23249838151.

Almost surely, 2^{67494275940100} is an apocalyptic number.

67494275940100 is the 8215490-th square number.

It is an amenable number.

67494275940100 is an abundant number, since it is smaller than the sum of its proper divisors (79538315704433).

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

67494275940100 is an frugal number, since it uses more digits than its factorization.

67494275940100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6386 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 58.

The spelling of 67494275940100 in words is "sixty-seven trillion, four hundred ninety-four billion, two hundred seventy-five million, nine hundred forty thousand, one hundred".