32490013570560 has 5760 divisors, whose sum is σ = 157956270151680. Its totient is φ = 6091980668928.

The previous prime is 32490013570499. The next prime is 32490013570561. The reversal of 32490013570560 is 6507531009423.

32490013570560 is a `hidden beast` number, since 3 + 2 + 4 + 9 + 0 + 0 + 13 + 5 + 70 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32490013570561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 484925575647 + ... + 484925575713.

It is an arithmetic number, because the mean of its divisors is an integer number (27422963568).

Almost surely, 2^{32490013570560} is an apocalyptic number.

32490013570560 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 32490013570560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78978135075840).

32490013570560 is an abundant number, since it is smaller than the sum of its proper divisors (125466256581120).

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

32490013570560 is a wasteful number, since it uses less digits than its factorization.

32490013570560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

Adding to 32490013570560 its reverse (6507531009423), we get a palindrome (38997544579983).

The spelling of 32490013570560 in words is "thirty-two trillion, four hundred ninety billion, thirteen million, five hundred seventy thousand, five hundred sixty".