9772712320000 has 1760 divisors, whose sum is σ = 31493248934400. Its totient is φ = 2954133504000.

The previous prime is 9772712319991. The next prime is 9772712320051. The reversal of 9772712320000 is 232172779.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 91333759947 + ... + 91333760053.

It is an arithmetic number, because the mean of its divisors is an integer number (17893891440).

Almost surely, 2^{9772712320000} 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 9772712320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15746624467200).

9772712320000 is an abundant number, since it is smaller than the sum of its proper divisors (21720536614400).

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

9772712320000 is a wasteful number, since it uses less digits than its factorization.

9772712320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 40.

Adding to 9772712320000 its reverse (232172779), we get a palindrome (9772944492779).

The spelling of 9772712320000 in words is "nine trillion, seven hundred seventy-two billion, seven hundred twelve million, three hundred twenty thousand".