61276422648600 has 288 divisors, whose sum is σ = 206369270874000. Its totient is φ = 16294139089920.

The previous prime is 61276422648583. The next prime is 61276422648601. The reversal of 61276422648600 is 684622467216.

It is a happy number.

61276422648600 is a `hidden beast` number, since 6 + 1 + 2 + 7 + 6 + 4 + 2 + 26 + 4 + 8 + 600 = 666.

61276422648600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61276422648601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3437272887 + ... + 3437290713.

Almost surely, 2^{61276422648600} is an apocalyptic number.

61276422648600 is a gapful number since it is divisible by the number (60) 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 61276422648600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103184635437000).

61276422648600 is an abundant number, since it is smaller than the sum of its proper divisors (145092848225400).

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

61276422648600 is a wasteful number, since it uses less digits than its factorization.

61276422648600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23147 (or 23135 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 61276422648600 in words is "sixty-one trillion, two hundred seventy-six billion, four hundred twenty-two million, six hundred forty-eight thousand, six hundred".