77468368896 has 512 divisors, whose sum is σ = 247627929600. Its totient is φ = 24174526464.

The previous prime is 77468368883. The next prime is 77468368903. The reversal of 77468368896 is 69886386477.

77468368896 is a `hidden beast` number, since 77 + 468 + 3 + 6 + 8 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1648263145 + ... + 1648263191.

It is an arithmetic number, because the mean of its divisors is an integer number (483648300).

Almost surely, 2^77468368896 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 77468368896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123813964800).

77468368896 is an abundant number, since it is smaller than the sum of its proper divisors (170159560704).

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

77468368896 is an frugal number, since it uses more digits than its factorization.

77468368896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 75 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 77468368896 in words is "seventy-seven billion, four hundred sixty-eight million, three hundred sixty-eight thousand, eight hundred ninety-six".