61678758910944 has 864 divisors, whose sum is σ = 198122771508480. Its totient is φ = 16749367971840.

The previous prime is 61678758910933. The next prime is 61678758910949. The reversal of 61678758910944 is 44901985787616.

It is a super-2 number, since 2×61678758910944² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61678758910949) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 64720627972 + ... + 64720628924.

It is an arithmetic number, because the mean of its divisors is an integer number (229308763320).

Almost surely, 2^{61678758910944} 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 61678758910944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99061385754240).

61678758910944 is an abundant number, since it is smaller than the sum of its proper divisors (136444012597536).

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

61678758910944 is a wasteful number, since it uses less digits than its factorization.

61678758910944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 75.

The spelling of 61678758910944 in words is "sixty-one trillion, six hundred seventy-eight billion, seven hundred fifty-eight million, nine hundred ten thousand, nine hundred forty-four".