78010661664 has 288 divisors, whose sum is σ = 252420779520. Its totient is φ = 22680999936.

The previous prime is 78010661647. The next prime is 78010661671. The reversal of 78010661664 is 46616601087.

It is a tau number, because it is divible by the number of its divisors (288).

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, 5095429 + ... + 5110715.

It is an arithmetic number, because the mean of its divisors is an integer number (876461040).

Almost surely, 2^78010661664 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 78010661664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126210389760).

78010661664 is an abundant number, since it is smaller than the sum of its proper divisors (174410117856).

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

78010661664 is a wasteful number, since it uses less digits than its factorization.

78010661664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15392 (or 15381 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 78010661664 in words is "seventy-eight billion, ten million, six hundred sixty-one thousand, six hundred sixty-four".