61961042880 has 448 divisors, whose sum is σ = 251013772800. Its totient is φ = 14229872640.

The previous prime is 61961042849. The next prime is 61961042881. The reversal of 61961042880 is 8824016916.

61961042880 is a `hidden beast` number, since 6 + 1 + 9 + 610 + 4 + 28 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61961042881) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1788604 + ... + 1822916.

It is an arithmetic number, because the mean of its divisors is an integer number (560298600).

Almost surely, 2^61961042880 is an apocalyptic number.

61961042880 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 61961042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125506886400).

61961042880 is an abundant number, since it is smaller than the sum of its proper divisors (189052729920).

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

61961042880 is a wasteful number, since it uses less digits than its factorization.

61961042880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34369 (or 34353 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

It can be divided in two parts, 6196 and 1042880, that added together give a triangular number (1049076 = T₁₄₄₈).

The spelling of 61961042880 in words is "sixty-one billion, nine hundred sixty-one million, forty-two thousand, eight hundred eighty".