77406103645416 has 768 divisors, whose sum is σ = 285567571968000. Its totient is φ = 18897208450560.

The previous prime is 77406103645333. The next prime is 77406103645433. The reversal of 77406103645416 is 61454630160477.

77406103645416 is a `hidden beast` number, since 7 + 7 + 4 + 0 + 61 + 0 + 36 + 4 + 541 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 322218675 + ... + 322458813.

It is an arithmetic number, because the mean of its divisors is an integer number (371832776000).

Almost surely, 2^{77406103645416} 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 77406103645416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142783785984000).

77406103645416 is an abundant number, since it is smaller than the sum of its proper divisors (208161468322584).

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

77406103645416 is a wasteful number, since it uses less digits than its factorization.

77406103645416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240251 (or 240218 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 77406103645416 in words is "seventy-seven trillion, four hundred six billion, one hundred three million, six hundred forty-five thousand, four hundred sixteen".