61643658080 has 96 divisors (see below), whose sum is σ = 146547926784. Its totient is φ = 24503003136.

The previous prime is 61643658059. The next prime is 61643658091. The reversal of 61643658080 is 8085634616.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26152262 + ... + 26154618.

It is an arithmetic number, because the mean of its divisors is an integer number (1526540904).

Almost surely, 2^61643658080 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 61643658080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73273963392).

61643658080 is an abundant number, since it is smaller than the sum of its proper divisors (84904268704).

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

61643658080 is a wasteful number, since it uses less digits than its factorization.

61643658080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328 (or 3320 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 61643658080 in words is "sixty-one billion, six hundred forty-three million, six hundred fifty-eight thousand, eighty".