77505427673856 has 1440 divisors, whose sum is σ = 290533251875328. Its totient is φ = 20007048314880.

The previous prime is 77505427673809. The next prime is 77505427673857. The reversal of 77505427673856 is 65837672450577.

77505427673856 is a `hidden beast` number, since 7 + 7 + 5 + 0 + 542 + 7 + 6 + 73 + 8 + 5 + 6 = 666.

It is a super-4 number, since 4×77505427673856⁴ (a number of 57 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (77505427673857) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20607663016 + ... + 20607666776.

Almost surely, 2^{77505427673856} 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 77505427673856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145266625937664).

77505427673856 is an abundant number, since it is smaller than the sum of its proper divisors (213027824201472).

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

77505427673856 is a wasteful number, since it uses less digits than its factorization.

77505427673856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4039 (or 4016 counting only the distinct ones).

The product of its (nonzero) digits is 2074464000, while the sum is 72.

The spelling of 77505427673856 in words is "seventy-seven trillion, five hundred five billion, four hundred twenty-seven million, six hundred seventy-three thousand, eight hundred fifty-six".