32480967552 has 512 divisors, whose sum is σ = 103403520000. Its totient is φ = 8928092160.

The previous prime is 32480967539. The next prime is 32480967569. The reversal of 32480967552 is 25576908423.

It is a happy number.

It is a super-2 number, since 2×32480967552² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32480967495 and 32480967504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297990474 + ... + 297990582.

It is an arithmetic number, because the mean of its divisors is an integer number (201960000).

Almost surely, 2^32480967552 is an apocalyptic number.

32480967552 is a gapful number since it is divisible by the number (32) 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 32480967552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51701760000).

32480967552 is an abundant number, since it is smaller than the sum of its proper divisors (70922552448).

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

32480967552 is a wasteful number, since it uses less digits than its factorization.

32480967552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 32480967552 in words is "thirty-two billion, four hundred eighty million, nine hundred sixty-seven thousand, five hundred fifty-two".