967409944900 has 81 divisors (see below), whose sum is σ = 2442192912957. Its totient is φ = 331659804000.

The previous prime is 967409944889. The next prime is 967409944903. The reversal of 967409944900 is 9449904769.

The square root of 967409944900 is 983570.

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., 348267580164 + 619142364736 = 590142^2 + 786856^2 .

It is not an unprimeable number, because it can be changed into a prime (967409944903) 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, 68842875 + ... + 68856925.

Almost surely, 2^967409944900 is an apocalyptic number.

967409944900 is the 983570-th square number.

It is an amenable number.

967409944900 is an abundant number, since it is smaller than the sum of its proper divisors (1474782968057).

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

967409944900 is an equidigital number, since it uses as much as digits as its factorization.

967409944900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28130 (or 14065 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 61.

The spelling of 967409944900 in words is "nine hundred sixty-seven billion, four hundred nine million, nine hundred forty-four thousand, nine hundred".