967657820416 has 81 divisors (see below), whose sum is σ = 2247144350871. Its totient is φ = 414663277056.

The previous prime is 967657820357. The next prime is 967657820429. The reversal of 967657820416 is 614028756769.

It is a happy number.

The square root of 967657820416 is 983696.

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 110169561 + ... + 110178343.

Almost surely, 2^967657820416 is an apocalyptic number.

967657820416 is the 983696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 967657820416

967657820416 is an abundant number, since it is smaller than the sum of its proper divisors (1279486530455).

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

967657820416 is an frugal number, since it uses more digits than its factorization.

967657820416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17596 (or 8792 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 61.

The spelling of 967657820416 in words is "nine hundred sixty-seven billion, six hundred fifty-seven million, eight hundred twenty thousand, four hundred sixteen".