32397581768640 has 448 divisors, whose sum is σ = 123255057162240. Its totient is φ = 7117087887360.

The previous prime is 32397581768597. The next prime is 32397581768647. The reversal of 32397581768640 is 4686718579323.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32397581768647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1104477 + ... + 8124963.

It is a 2-persistent number, because it is pandigital, and so is 2⋅32397581768640 = 64795163537280, but 3⋅32397581768640 = 97192745305920 is not.

Almost surely, 2^{32397581768640} is an apocalyptic number.

32397581768640 is a gapful number since it is divisible by the number (30) 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 32397581768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61627528581120).

32397581768640 is an abundant number, since it is smaller than the sum of its proper divisors (90857475393600).

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

32397581768640 is a wasteful number, since it uses less digits than its factorization.

32397581768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7020560 (or 7020550 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 69.

The spelling of 32397581768640 in words is "thirty-two trillion, three hundred ninety-seven billion, five hundred eighty-one million, seven hundred sixty-eight thousand, six hundred forty".