967878180864 has 765 divisors, whose sum is σ = 3419819466921. Its totient is φ = 272003235840.

The previous prime is 967878180847. The next prime is 967878180869. The reversal of 967878180864 is 468081878769.

The square root of 967878180864 is 983808.

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., 31473598464 + 936404582400 = 177408^2 + 967680^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 967878180792 and 967878180801.

It is not an unprimeable number, because it can be changed into a prime (967878180869) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15866855394 + ... + 15866855454.

Almost surely, 2^967878180864 is an apocalyptic number.

967878180864 is the 983808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 967878180864

967878180864 is an abundant number, since it is smaller than the sum of its proper divisors (2451941286057).

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

967878180864 is an frugal number, since it uses more digits than its factorization.

967878180864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 72.

967878180864 divided by its product of nonzero digits (260112384) gives a square (3721 = 61²).

The spelling of 967878180864 in words is "nine hundred sixty-seven billion, eight hundred seventy-eight million, one hundred eighty thousand, eight hundred sixty-four".