61641908889600 has 2304 divisors, whose sum is σ = 235353251427840. Its totient is φ = 14118027264000.

The previous prime is 61641908889593. The next prime is 61641908889619. The reversal of 61641908889600 is 698880914616.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 449940940732 + ... + 449940940868.

It is an arithmetic number, because the mean of its divisors is an integer number (102149848710).

Almost surely, 2^{61641908889600} is an apocalyptic number.

61641908889600 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 61641908889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117676625713920).

61641908889600 is an abundant number, since it is smaller than the sum of its proper divisors (173711342538240).

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

61641908889600 is a wasteful number, since it uses less digits than its factorization.

61641908889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 66.

The spelling of 61641908889600 in words is "sixty-one trillion, six hundred forty-one billion, nine hundred eight million, eight hundred eighty-nine thousand, six hundred".