77573308711680 has 360 divisors, whose sum is σ = 278410192142544. Its totient is φ = 20623710412800.

The previous prime is 77573308711609. The next prime is 77573308711753. The reversal of 77573308711680 is 8611780337577.

77573308711680 is a `hidden beast` number, since 7 + 75 + 7 + 330 + 8 + 71 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33187870 + ... + 35448290.

Almost surely, 2^{77573308711680} 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 77573308711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139205096071272).

77573308711680 is an abundant number, since it is smaller than the sum of its proper divisors (200836883430864).

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

77573308711680 is a wasteful number, since it uses less digits than its factorization.

77573308711680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260785 (or 2260762 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 63.

The spelling of 77573308711680 in words is "seventy-seven trillion, five hundred seventy-three billion, three hundred eight million, seven hundred eleven thousand, six hundred eighty".