380669507712 has 384 divisors, whose sum is σ = 1287784680000. Its totient is φ = 110962151424.

The previous prime is 380669507671. The next prime is 380669507719. The reversal of 380669507712 is 217705966083.

380669507712 is a `hidden beast` number, since 3 + 8 + 0 + 6 + 69 + 507 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (380669507719) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7657914 + ... + 7707462.

Almost surely, 2^380669507712 is an apocalyptic number.

380669507712 is a gapful number since it is divisible by the number (32) 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 380669507712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643892340000).

380669507712 is an abundant number, since it is smaller than the sum of its proper divisors (907115172288).

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

380669507712 is a wasteful number, since it uses less digits than its factorization.

380669507712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49610 (or 49586 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 380669507712 in words is "three hundred eighty billion, six hundred sixty-nine million, five hundred seven thousand, seven hundred twelve".