9752992634880 has 1920 divisors, whose sum is σ = 39485227541760. Its totient is φ = 2291802439680.

The previous prime is 9752992634873. The next prime is 9752992634893. The reversal of 9752992634880 is 884362992579.

9752992634880 is a `hidden beast` number, since 9 + 7 + 52 + 9 + 92 + 6 + 3 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×9752992634880² (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 junction number, because it is equal to n+sod(n) for n = 9752992634799 and 9752992634808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 117505935319 + ... + 117505935401.

It is an arithmetic number, because the mean of its divisors is an integer number (20565222678).

Almost surely, 2^{9752992634880} is an apocalyptic number.

9752992634880 is a gapful number since it is divisible by the number (90) 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 9752992634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19742613770880).

9752992634880 is an abundant number, since it is smaller than the sum of its proper divisors (29732234906880).

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

9752992634880 is an frugal number, since it uses more digits than its factorization.

9752992634880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 9752992634880 in words is "nine trillion, seven hundred fifty-two billion, nine hundred ninety-two million, six hundred thirty-four thousand, eight hundred eighty".