61632533504 has 88 divisors (see below), whose sum is σ = 128721501000. Its totient is φ = 29457612800.

The previous prime is 61632533503. The next prime is 61632533549. The reversal of 61632533504 is 40533523616.

It can be written as a sum of positive squares in 4 ways, for example, as 44794875904 + 16837657600 = 211648^2 + 129760^2 .

It is a super-2 number, since 2×61632533504² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61632533503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2989022 + ... + 3009570.

Almost surely, 2^61632533504 is an apocalyptic number.

61632533504 is a gapful number since it is divisible by the number (64) 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 61632533504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64360750500).

61632533504 is an abundant number, since it is smaller than the sum of its proper divisors (67088967496).

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

61632533504 is a wasteful number, since it uses less digits than its factorization.

61632533504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20699 (or 20681 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 38.

The spelling of 61632533504 in words is "sixty-one billion, six hundred thirty-two million, five hundred thirty-three thousand, five hundred four".