77364006720000 has 6400 divisors, whose sum is σ = 371107447603200. Its totient is φ = 14089420800000.

The previous prime is 77364006719983. The next prime is 77364006720059. The reversal of 77364006720000 is 2760046377.

It is a tau number, because it is divible by the number of its divisors (6400).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1459698239974 + ... + 1459698240026.

It is an arithmetic number, because the mean of its divisors is an integer number (57985538688).

Almost surely, 2^{77364006720000} is an apocalyptic number.

77364006720000 is a gapful number since it is divisible by the number (70) 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 77364006720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185553723801600).

77364006720000 is an abundant number, since it is smaller than the sum of its proper divisors (293743440883200).

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

77364006720000 is a wasteful number, since it uses less digits than its factorization.

77364006720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 42.

Adding to 77364006720000 its reverse (2760046377), we get a palindrome (77366766766377).

The spelling of 77364006720000 in words is "seventy-seven trillion, three hundred sixty-four billion, six million, seven hundred twenty thousand".