61409567232 has 640 divisors, whose sum is σ = 207886694400. Its totient is φ = 17756209152.

The previous prime is 61409567231. The next prime is 61409567249. The reversal of 61409567232 is 23276590416.

61409567232 is a `hidden beast` number, since 6 + 1 + 409 + 5 + 6 + 7 + 232 = 666.

It is a super-3 number, since 3×61409567232³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (61409567231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 343070119 + ... + 343070297.

It is an arithmetic number, because the mean of its divisors is an integer number (324822960).

Almost surely, 2^61409567232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61409567232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103943347200).

61409567232 is an abundant number, since it is smaller than the sum of its proper divisors (146477127168).

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

61409567232 is a wasteful number, since it uses less digits than its factorization.

61409567232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 61409567232 in words is "sixty-one billion, four hundred nine million, five hundred sixty-seven thousand, two hundred thirty-two".