9597970746000 has 3840 divisors, whose sum is σ = 45108846182400. Its totient is φ = 1958768179200.

The previous prime is 9597970745971. The next prime is 9597970746017. The reversal of 9597970746000 is 6470797959.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 767 ways as a sum of consecutive naturals, for example, 93184181949 + ... + 93184182051.

It is an arithmetic number, because the mean of its divisors is an integer number (11747095360).

Almost surely, 2^{9597970746000} is an apocalyptic number.

9597970746000 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 9597970746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22554423091200).

9597970746000 is an abundant number, since it is smaller than the sum of its proper divisors (35510875436400).

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

9597970746000 is a wasteful number, since it uses less digits than its factorization.

9597970746000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 30005640, while the sum is 63.

The spelling of 9597970746000 in words is "nine trillion, five hundred ninety-seven billion, nine hundred seventy million, seven hundred forty-six thousand".