61643400434616 has 512 divisors, whose sum is σ = 212018132551680. Its totient is φ = 14415313305600.

The previous prime is 61643400434549. The next prime is 61643400434617.

61643400434616 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61643400434617) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5607508416 + ... + 5607519408.

It is an arithmetic number, because the mean of its divisors is an integer number (414097915140).

Almost surely, 2^{61643400434616} is an apocalyptic number.

61643400434616 is a gapful number since it is divisible by the number (66) 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 61643400434616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106009066275840).

61643400434616 is an abundant number, since it is smaller than the sum of its proper divisors (150374732117064).

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

61643400434616 is a wasteful number, since it uses less digits than its factorization.

61643400434616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16767 (or 16763 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 61643400434616 in words is "sixty-one trillion, six hundred forty-three billion, four hundred million, four hundred thirty-four thousand, six hundred sixteen".