9797675757408 has 960 divisors, whose sum is σ = 37555098577920. Its totient is φ = 2429769830400.

The previous prime is 9797675757383. The next prime is 9797675757409. The reversal of 9797675757408 is 8047575767979.

9797675757408 is a `hidden beast` number, since 9 + 7 + 9 + 76 + 75 + 75 + 7 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9797675757409) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3034273938 + ... + 3034277166.

It is an arithmetic number, because the mean of its divisors is an integer number (39119894352).

Almost surely, 2^{9797675757408} 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 9797675757408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18777549288960).

9797675757408 is an abundant number, since it is smaller than the sum of its proper divisors (27757422820512).

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

9797675757408 is a wasteful number, since it uses less digits than its factorization.

9797675757408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3953 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 6534561600, while the sum is 81.

The spelling of 9797675757408 in words is "nine trillion, seven hundred ninety-seven billion, six hundred seventy-five million, seven hundred fifty-seven thousand, four hundred eight".