9962770438656 has 320 divisors, whose sum is σ = 33968842997760. Its totient is φ = 2824088924160.

The previous prime is 9962770438603. The next prime is 9962770438787. The reversal of 9962770438656 is 6568340772699.

9962770438656 is a `hidden beast` number, since 9 + 9 + 62 + 7 + 70 + 438 + 65 + 6 = 666.

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 31 ways as a sum of consecutive naturals, for example, 11884201 + ... + 12694871.

It is an arithmetic number, because the mean of its divisors is an integer number (106152634368).

Almost surely, 2^{9962770438656} is an apocalyptic number.

9962770438656 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9962770438656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16984421498880).

9962770438656 is an abundant number, since it is smaller than the sum of its proper divisors (24006072559104).

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

9962770438656 is a wasteful number, since it uses less digits than its factorization.

9962770438656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810832 (or 810810 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 9962770438656 in words is "nine trillion, nine hundred sixty-two billion, seven hundred seventy million, four hundred thirty-eight thousand, six hundred fifty-six".