967972628736 has 243 divisors, whose sum is σ = 2832496234659. Its totient is φ = 317919292416.

The previous prime is 967972628729. The next prime is 967972628767. The reversal of 967972628736 is 637826279769.

The square root of 967972628736 is 983856.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4864183965 + ... + 4864184163.

Almost surely, 2^967972628736 is an apocalyptic number.

967972628736 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

967972628736 is the 983856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 967972628736

967972628736 is an abundant number, since it is smaller than the sum of its proper divisors (1864523605923).

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

967972628736 is an equidigital number, since it uses as much as digits as its factorization.

967972628736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 307 counting only the distinct ones).

The product of its digits is 576108288, while the sum is 72.

The spelling of 967972628736 in words is "nine hundred sixty-seven billion, nine hundred seventy-two million, six hundred twenty-eight thousand, seven hundred thirty-six".