77363368992 has 576 divisors, whose sum is σ = 276566524416. Its totient is φ = 19972915200.

The previous prime is 77363368937. The next prime is 77363369023. The reversal of 77363368992 is 29986336377.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 447187018 + ... + 447187190.

It is an arithmetic number, because the mean of its divisors is an integer number (480150216).

Almost surely, 2^77363368992 is an apocalyptic number.

77363368992 is a gapful number since it is divisible by the number (72) 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 77363368992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138283262208).

77363368992 is an abundant number, since it is smaller than the sum of its proper divisors (199203155424).

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

77363368992 is a wasteful number, since it uses less digits than its factorization.

77363368992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 462 counting only the distinct ones).

The product of its digits is 61725888, while the sum is 63.

The spelling of 77363368992 in words is "seventy-seven billion, three hundred sixty-three million, three hundred sixty-eight thousand, nine hundred ninety-two".