38453575680 has 816 divisors, whose sum is σ = 154579894560. Its totient is φ = 8757706752.

The previous prime is 38453575679. The next prime is 38453575753. The reversal of 38453575680 is 8657535483.

38453575680 is a `hidden beast` number, since 3 + 8 + 4 + 5 + 3 + 575 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (816).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651755491 + ... + 651755549.

Almost surely, 2^38453575680 is an apocalyptic number.

38453575680 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 38453575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77289947280).

38453575680 is an abundant number, since it is smaller than the sum of its proper divisors (116126318880).

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

38453575680 is a wasteful number, since it uses less digits than its factorization.

38453575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 38453575680 in words is "thirty-eight billion, four hundred fifty-three million, five hundred seventy-five thousand, six hundred eighty".