61031208064 has 64 divisors (see below), whose sum is σ = 127075649400. Its totient is φ = 29159424000.

The previous prime is 61031208047. The next prime is 61031208097. The reversal of 61031208064 is 46080213016.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 58761638464 + 2269569600 = 242408^2 + 47640^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275314 + ... + 444814.

Almost surely, 2^61031208064 is an apocalyptic number.

61031208064 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 61031208064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63537824700).

61031208064 is an abundant number, since it is smaller than the sum of its proper divisors (66044441336).

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

61031208064 is a wasteful number, since it uses less digits than its factorization.

61031208064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169641 (or 169629 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 61031208064 in words is "sixty-one billion, thirty-one million, two hundred eight thousand, sixty-four".