61355927680 has 128 divisors (see below), whose sum is σ = 151132849200. Its totient is φ = 23808245760.

The previous prime is 61355927641. The next prime is 61355927683. The reversal of 61355927680 is 8672955316.

It can be written as a sum of positive squares in 8 ways, for example, as 4127805504 + 57228122176 = 64248^2 + 239224^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×61355927680² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61355927683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2839156 + ... + 2860684.

Almost surely, 2^61355927680 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 61355927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75566424600).

61355927680 is an abundant number, since it is smaller than the sum of its proper divisors (89776921520).

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

61355927680 is a wasteful number, since it uses less digits than its factorization.

61355927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21682 (or 21670 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 61355927680 in words is "sixty-one billion, three hundred fifty-five million, nine hundred twenty-seven thousand, six hundred eighty".