77621973413967 has 32 divisors (see below), whose sum is σ = 119143075307520. Its totient is φ = 49893900156000.

The previous prime is 77621973413909. The next prime is 77621973414001. The reversal of 77621973413967 is 76931437912677.

77621973413967 is a `hidden beast` number, since 7 + 7 + 6 + 2 + 197 + 3 + 41 + 396 + 7 = 666.

It is not a de Polignac number, because 77621973413967 - 2⁶ = 77621973413903 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77621973413895 and 77621973413904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77621973413167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170877084 + ... + 171330737.

It is an arithmetic number, because the mean of its divisors is an integer number (3723221103360).

Almost surely, 2^{77621973413967} is an apocalyptic number.

77621973413967 is a deficient number, since it is larger than the sum of its proper divisors (41521101893553).

77621973413967 is a wasteful number, since it uses less digits than its factorization.

77621973413967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342208132 (or 342208126 counting only the distinct ones).

The product of its digits is 504094752, while the sum is 72.

The spelling of 77621973413967 in words is "seventy-seven trillion, six hundred twenty-one billion, nine hundred seventy-three million, four hundred thirteen thousand, nine hundred sixty-seven".