9631628745984 has 1728 divisors, whose sum is σ = 36152749301760. Its totient is φ = 2496043745280.

The previous prime is 9631628745953. The next prime is 9631628745989. The reversal of 9631628745984 is 4895478261369.

9631628745984 is a `hidden beast` number, since 9 + 6 + 3 + 1 + 6 + 28 + 7 + 4 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×9631628745984² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9631628745989) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22347166249 + ... + 22347166679.

It is an arithmetic number, because the mean of its divisors is an integer number (20921729920).

Almost surely, 2^{9631628745984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9631628745984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18076374650880).

9631628745984 is an abundant number, since it is smaller than the sum of its proper divisors (26521120555776).

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

9631628745984 is a wasteful number, since it uses less digits than its factorization.

9631628745984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 572 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 9631628745984 in words is "nine trillion, six hundred thirty-one billion, six hundred twenty-eight million, seven hundred forty-five thousand, nine hundred eighty-four".