38766536640 has 672 divisors, whose sum is σ = 149965111296. Its totient is φ = 9127157760.

The previous prime is 38766536623. The next prime is 38766536657. The reversal of 38766536640 is 4663566783.

38766536640 is a `hidden beast` number, since 3 + 8 + 7 + 66 + 536 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (38766536623) and next prime (38766536657).

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, 147401149 + ... + 147401411.

It is an arithmetic number, because the mean of its divisors is an integer number (223162368).

Almost surely, 2^38766536640 is an apocalyptic number.

38766536640 is a gapful number since it is divisible by the number (30) 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 38766536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74982555648).

38766536640 is an abundant number, since it is smaller than the sum of its proper divisors (111198574656).

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

38766536640 is a wasteful number, since it uses less digits than its factorization.

38766536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 38766536640 in words is "thirty-eight billion, seven hundred sixty-six million, five hundred thirty-six thousand, six hundred forty".