61058728640 has 224 divisors, whose sum is σ = 189476993664. Its totient is φ = 18187223040.

The previous prime is 61058728637. The next prime is 61058728699. The reversal of 61058728640 is 4682785016.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433370 + ... + 556710.

It is an arithmetic number, because the mean of its divisors is an integer number (845879436).

Almost surely, 2^61058728640 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 61058728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94738496832).

61058728640 is an abundant number, since it is smaller than the sum of its proper divisors (128418265024).

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

61058728640 is a wasteful number, since it uses less digits than its factorization.

61058728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123395 (or 123385 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 61058728640 in words is "sixty-one billion, fifty-eight million, seven hundred twenty-eight thousand, six hundred forty".