77988635361 has 288 divisors, whose sum is σ = 154509508608. Its totient is φ = 36859173120.

The previous prime is 77988635327. The next prime is 77988635363. The reversal of 77988635361 is 16353688977.

77988635361 is a `hidden beast` number, since 7 + 7 + 98 + 8 + 6 + 3 + 536 + 1 = 666.

It is not a de Polignac number, because 77988635361 - 2¹⁸ = 77988373217 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (77988635363) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 614083680 + ... + 614083806.

Almost surely, 2^77988635361 is an apocalyptic number.

It is an amenable number.

77988635361 is a deficient number, since it is larger than the sum of its proper divisors (76520873247).

77988635361 is a wasteful number, since it uses less digits than its factorization.

77988635361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 267 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 77988635361 in words is "seventy-seven billion, nine hundred eighty-eight million, six hundred thirty-five thousand, three hundred sixty-one".