77475279168 has 560 divisors, whose sum is σ = 283844471680. Its totient is φ = 20397256704.

The previous prime is 77475279157. The next prime is 77475279173. The reversal of 77475279168 is 86197257477.

77475279168 is a `hidden beast` number, since 7 + 7 + 47 + 527 + 9 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25508946 + ... + 25511982.

It is an arithmetic number, because the mean of its divisors is an integer number (506865128).

Almost surely, 2^77475279168 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 77475279168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141922235840).

77475279168 is an abundant number, since it is smaller than the sum of its proper divisors (206369192512).

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

77475279168 is a wasteful number, since it uses less digits than its factorization.

77475279168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3124 (or 3105 counting only the distinct ones).

The product of its digits is 41489280, while the sum is 63.

The spelling of 77475279168 in words is "seventy-seven billion, four hundred seventy-five million, two hundred seventy-nine thousand, one hundred sixty-eight".