61536707232 has 864 divisors, whose sum is σ = 230140237824. Its totient is φ = 14215219200.

The previous prime is 61536707231. The next prime is 61536707237. The reversal of 61536707232 is 23270763516.

It is a super-2 number, since 2×61536707232² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (61536707231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 271086703 + ... + 271086929.

It is an arithmetic number, because the mean of its divisors is an integer number (266366016).

Almost surely, 2^61536707232 is an apocalyptic number.

61536707232 is a gapful number since it is divisible by the number (62) 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 61536707232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115070118912).

61536707232 is an abundant number, since it is smaller than the sum of its proper divisors (168603530592).

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

61536707232 is a wasteful number, since it uses less digits than its factorization.

61536707232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The spelling of 61536707232 in words is "sixty-one billion, five hundred thirty-six million, seven hundred seven thousand, two hundred thirty-two".