38669607567360 has 4896 divisors, whose sum is σ = 190318766182272. Its totient is φ = 7419891548160.

The previous prime is 38669607567337. The next prime is 38669607567389. The reversal of 38669607567360 is 6376570696683.

38669607567360 is a `hidden beast` number, since 3 + 8 + 6 + 6 + 9 + 607 + 5 + 6 + 7 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4896).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 729615237094 + ... + 729615237146.

Almost surely, 2^{38669607567360} is an apocalyptic number.

38669607567360 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 38669607567360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95159383091136).

38669607567360 is an abundant number, since it is smaller than the sum of its proper divisors (151649158614912).

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

38669607567360 is an equidigital number, since it uses as much as digits as its factorization.

38669607567360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1234517760, while the sum is 72.

The spelling of 38669607567360 in words is "thirty-eight trillion, six hundred sixty-nine billion, six hundred seven million, five hundred sixty-seven thousand, three hundred sixty".