32490563567616 has 1536 divisors, whose sum is σ = 126787427020800. Its totient is φ = 8072189706240.

The previous prime is 32490563567503. The next prime is 32490563567617. The reversal of 32490563567616 is 61676536509423.

32490563567616 is a `hidden beast` number, since 3 + 2 + 4 + 9 + 0 + 5 + 6 + 3 + 5 + 6 + 7 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×32490563567616² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32490563567617) 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, 1412633198581 + ... + 1412633198603.

It is an arithmetic number, because the mean of its divisors is an integer number (82543897800).

Almost surely, 2^{32490563567616} is an apocalyptic number.

32490563567616 is a gapful number since it is divisible by the number (36) 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 32490563567616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63393713510400).

32490563567616 is an abundant number, since it is smaller than the sum of its proper divisors (94296863453184).

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

32490563567616 is an frugal number, since it uses more digits than its factorization.

32490563567616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 63.

The spelling of 32490563567616 in words is "thirty-two trillion, four hundred ninety billion, five hundred sixty-three million, five hundred sixty-seven thousand, six hundred sixteen".