61062688960 has 896 divisors, whose sum is σ = 205284409344. Its totient is φ = 16739205120.

The previous prime is 61062688933. The next prime is 61062688963. The reversal of 61062688960 is 6988626016.

61062688960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 61062688898 and 61062688907.

It is not an unprimeable number, because it can be changed into a prime (61062688963) 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, 352963434 + ... + 352963606.

It is an arithmetic number, because the mean of its divisors is an integer number (229112064).

Almost surely, 2^61062688960 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 61062688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102642204672).

61062688960 is an abundant number, since it is smaller than the sum of its proper divisors (144221720384).

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

61062688960 is a wasteful number, since it uses less digits than its factorization.

61062688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The spelling of 61062688960 in words is "sixty-one billion, sixty-two million, six hundred eighty-eight thousand, nine hundred sixty".