77317487372664 has 1280 divisors, whose sum is σ = 285887862374400. Its totient is φ = 18927816652800.

The previous prime is 77317487372591. The next prime is 77317487372669. The reversal of 77317487372664 is 46627378471377.

77317487372664 is a `hidden beast` number, since 7 + 7 + 3 + 17 + 487 + 3 + 72 + 6 + 64 = 666.

It is a super-2 number, since 2×77317487372664² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 77317487372592 and 77317487372601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77317487372669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 33807382929 + ... + 33807385215.

It is an arithmetic number, because the mean of its divisors is an integer number (223349892480).

Almost surely, 2^{77317487372664} 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 77317487372664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142943931187200).

77317487372664 is an abundant number, since it is smaller than the sum of its proper divisors (208570375001736).

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

77317487372664 is a wasteful number, since it uses less digits than its factorization.

77317487372664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2753 counting only the distinct ones).

The product of its digits is 1394039808, while the sum is 72.

The spelling of 77317487372664 in words is "seventy-seven trillion, three hundred seventeen billion, four hundred eighty-seven million, three hundred seventy-two thousand, six hundred sixty-four".