61642518210 has 256 divisors, whose sum is σ = 204178867200. Its totient is φ = 12886013952.

The previous prime is 61642518191. The next prime is 61642518229. The reversal of 61642518210 is 1281524616.

It is a happy number.

61642518210 is a `hidden beast` number, since 6 + 1 + 6 + 425 + 18 + 210 = 666.

61642518210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61642518191) and next prime (61642518229).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2666622 + ... + 2689638.

It is an arithmetic number, because the mean of its divisors is an integer number (797573700).

Almost surely, 2^61642518210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61642518210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102089433600).

61642518210 is an abundant number, since it is smaller than the sum of its proper divisors (142536348990).

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

61642518210 is a wasteful number, since it uses less digits than its factorization.

61642518210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23162 (or 23156 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 61642518210 in words is "sixty-one billion, six hundred forty-two million, five hundred eighteen thousand, two hundred ten".