9351696032640 has 1280 divisors, whose sum is σ = 37626010773120. Its totient is φ = 2196203175936.

The previous prime is 9351696032579. The next prime is 9351696032641. The reversal of 9351696032640 is 462306961539.

9351696032640 is a `hidden beast` number, since 9 + 3 + 5 + 1 + 6 + 9 + 603 + 26 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9351696032641) 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, 11733620722 + ... + 11733621518.

Almost surely, 2^{9351696032640} is an apocalyptic number.

9351696032640 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 9351696032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18813005386560).

9351696032640 is an abundant number, since it is smaller than the sum of its proper divisors (28274314740480).

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

9351696032640 is a wasteful number, since it uses less digits than its factorization.

9351696032640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 9351696032640 in words is "nine trillion, three hundred fifty-one billion, six hundred ninety-six million, thirty-two thousand, six hundred forty".