77066358768 has 300 divisors, whose sum is σ = 262165012032. Its totient is φ = 21790218240.

The previous prime is 77066358703. The next prime is 77066358769. The reversal of 77066358768 is 86785366077.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77066358769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6153633 + ... + 6166143.

Almost surely, 2^77066358768 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 77066358768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131082506016).

77066358768 is an abundant number, since it is smaller than the sum of its proper divisors (185098653264).

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

77066358768 is a wasteful number, since it uses less digits than its factorization.

77066358768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12642 (or 12620 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 77066358768 in words is "seventy-seven billion, sixty-six million, three hundred fifty-eight thousand, seven hundred sixty-eight".