38678632550766 has 192 divisors, whose sum is σ = 96287438572416. Its totient is φ = 11137919385600.

The previous prime is 38678632550743. The next prime is 38678632550771. The reversal of 38678632550766 is 66705523687683.

38678632550766 is a `hidden beast` number, since 3 + 8 + 6 + 7 + 8 + 6 + 3 + 2 + 550 + 7 + 66 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38678632550694 and 38678632550703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24436110 + ... + 25970766.

It is an arithmetic number, because the mean of its divisors is an integer number (501497075898).

Almost surely, 2^{38678632550766} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38678632550766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48143719286208).

38678632550766 is an abundant number, since it is smaller than the sum of its proper divisors (57608806021650).

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

38678632550766 is a wasteful number, since it uses less digits than its factorization.

38678632550766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534827 (or 1534824 counting only the distinct ones).

The product of its (nonzero) digits is 1828915200, while the sum is 72.

The spelling of 38678632550766 in words is "thirty-eight trillion, six hundred seventy-eight billion, six hundred thirty-two million, five hundred fifty thousand, seven hundred sixty-six".