77017343600640 has 384 divisors, whose sum is σ = 253559305359360. Its totient is φ = 19947488870400.

The previous prime is 77017343600579. The next prime is 77017343600677. The reversal of 77017343600640 is 4600634371077.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 77017343600640.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 188939445 + ... + 189346635.

It is an arithmetic number, because the mean of its divisors is an integer number (660310691040).

Almost surely, 2^{77017343600640} 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 77017343600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126779652679680).

77017343600640 is an abundant number, since it is smaller than the sum of its proper divisors (176541961758720).

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

77017343600640 is a wasteful number, since it uses less digits than its factorization.

77017343600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407399 (or 407379 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 48.

The spelling of 77017343600640 in words is "seventy-seven trillion, seventeen billion, three hundred forty-three million, six hundred thousand, six hundred forty".