77636409840 has 480 divisors, whose sum is σ = 298581603840. Its totient is φ = 17894553600.

The previous prime is 77636409803. The next prime is 77636409883. The reversal of 77636409840 is 4890463677.

It is a happy number.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 32605450 + ... + 32607830.

It is an arithmetic number, because the mean of its divisors is an integer number (622045008).

Almost surely, 2^77636409840 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 77636409840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149290801920).

77636409840 is an abundant number, since it is smaller than the sum of its proper divisors (220945194000).

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

77636409840 is a wasteful number, since it uses less digits than its factorization.

77636409840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 77636409840 in words is "seventy-seven billion, six hundred thirty-six million, four hundred nine thousand, eight hundred forty".