38164426560 has 560 divisors, whose sum is σ = 149028674256. Its totient is φ = 9212755968.

The previous prime is 38164426549. The next prime is 38164426577. The reversal of 38164426560 is 6562446183.

38164426560 is a `hidden beast` number, since 3 + 8 + 1 + 64 + 4 + 26 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6843921984 + 31320504576 = 82728^2 + 176976^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17857812 + ... + 17859948.

Almost surely, 2^38164426560 is an apocalyptic number.

38164426560 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 38164426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74514337128).

38164426560 is an abundant number, since it is smaller than the sum of its proper divisors (110864247696).

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

38164426560 is a wasteful number, since it uses less digits than its factorization.

38164426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 38164426560 in words is "thirty-eight billion, one hundred sixty-four million, four hundred twenty-six thousand, five hundred sixty".