61716670963584 has 384 divisors, whose sum is σ = 211993837332480. Its totient is φ = 15751860203520.

The previous prime is 61716670963573. The next prime is 61716670963603. The reversal of 61716670963584 is 48536907661716.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3513357 + ... + 11652339.

It is an arithmetic number, because the mean of its divisors is an integer number (552067284720).

Almost surely, 2^{61716670963584} is an apocalyptic number.

61716670963584 is a gapful number since it is divisible by the number (64) 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 61716670963584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105996918666240).

61716670963584 is an abundant number, since it is smaller than the sum of its proper divisors (150277166368896).

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

61716670963584 is a wasteful number, since it uses less digits than its factorization.

61716670963584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8139058 (or 8139039 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 69.

The spelling of 61716670963584 in words is "sixty-one trillion, seven hundred sixteen billion, six hundred seventy million, nine hundred sixty-three thousand, five hundred eighty-four".