61641288989280 has 2304 divisors, whose sum is σ = 299527806928896. Its totient is φ = 11109771509760.

The previous prime is 61641288989237. The next prime is 61641288989317. The reversal of 61641288989280 is 8298988214616.

61641288989280 is a `hidden beast` number, since 6 + 1 + 64 + 1 + 288 + 9 + 8 + 9 + 280 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 61641288989199 and 61641288989208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18549889699 + ... + 18549893021.

It is an arithmetic number, because the mean of its divisors is an integer number (130003388424).

Almost surely, 2^{61641288989280} is an apocalyptic number.

61641288989280 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 61641288989280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149763903464448).

61641288989280 is an abundant number, since it is smaller than the sum of its proper divisors (237886517939616).

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

61641288989280 is a wasteful number, since it uses less digits than its factorization.

61641288989280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4149 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 72.

The spelling of 61641288989280 in words is "sixty-one trillion, six hundred forty-one billion, two hundred eighty-eight million, nine hundred eighty-nine thousand, two hundred eighty".