368687506277376 has 704 divisors, whose sum is σ = 1284069147648000. Its totient is φ = 103024211558400.

The previous prime is 368687506277359. The next prime is 368687506277401. The reversal of 368687506277376 is 673772605786863.

368687506277376 is a `hidden beast` number, since 3 + 6 + 8 + 6 + 8 + 7 + 506 + 2 + 77 + 37 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a junction number, because it is equal to n+sod(n) for n = 368687506277295 and 368687506277304.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3918033975 + ... + 3918128073.

Almost surely, 2^{368687506277376} is an apocalyptic number.

368687506277376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368687506277376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642034573824000).

368687506277376 is an abundant number, since it is smaller than the sum of its proper divisors (915381641370624).

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

368687506277376 is a wasteful number, since it uses less digits than its factorization.

368687506277376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95143 (or 95119 counting only the distinct ones).

The product of its (nonzero) digits is 17923368960, while the sum is 81.

The spelling of 368687506277376 in words is "three hundred sixty-eight trillion, six hundred eighty-seven billion, five hundred six million, two hundred seventy-seven thousand, three hundred seventy-six".