77211063264960 has 1344 divisors, whose sum is σ = 306504890265600. Its totient is φ = 17710468300800.

The previous prime is 77211063264953. The next prime is 77211063264967. The reversal of 77211063264960 is 6946236011277.

77211063264960 is a `hidden beast` number, since 7 + 7 + 2 + 110 + 6 + 32 + 6 + 496 + 0 = 666.

77211063264960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (77211063264953) and next prime (77211063264967).

It is a junction number, because it is equal to n+sod(n) for n = 77211063264897 and 77211063264906.

It is not an unprimeable number, because it can be changed into a prime (77211063264967) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9545188596 + ... + 9545196684.

Almost surely, 2^{77211063264960} 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 77211063264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153252445132800).

77211063264960 is an abundant number, since it is smaller than the sum of its proper divisors (229293827000640).

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

77211063264960 is a wasteful number, since it uses less digits than its factorization.

77211063264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8510 (or 8497 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 77211063264960 in words is "seventy-seven trillion, two hundred eleven billion, sixty-three million, two hundred sixty-four thousand, nine hundred sixty".