61965478848 has 448 divisors, whose sum is σ = 215399152640. Its totient is φ = 15264350208.

The previous prime is 61965478837. The next prime is 61965478859. The reversal of 61965478848 is 84887456916.

It is an interprime number because it is at equal distance from previous prime (61965478837) and next prime (61965478859).

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 24232386 + ... + 24234942.

It is an arithmetic number, because the mean of its divisors is an integer number (480801680).

Almost surely, 2^61965478848 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 61965478848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107699576320).

61965478848 is an abundant number, since it is smaller than the sum of its proper divisors (153433673792).

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

61965478848 is a wasteful number, since it uses less digits than its factorization.

61965478848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2674 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 66.

The spelling of 61965478848 in words is "sixty-one billion, nine hundred sixty-five million, four hundred seventy-eight thousand, eight hundred forty-eight".