61064345600 has 288 divisors, whose sum is σ = 158589849600. Its totient is φ = 23290675200.

The previous prime is 61064345561. The next prime is 61064345611. The reversal of 61064345600 is 654346016.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 125388557 + ... + 125389043.

It is an arithmetic number, because the mean of its divisors is an integer number (550659200).

Almost surely, 2^61064345600 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 61064345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79294924800).

61064345600 is an abundant number, since it is smaller than the sum of its proper divisors (97525504000).

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

61064345600 is a wasteful number, since it uses less digits than its factorization.

61064345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 61064345600 in words is "sixty-one billion, sixty-four million, three hundred forty-five thousand, six hundred".