379682136064 has 448 divisors, whose sum is σ = 991636515072. Its totient is φ = 141085900800.

The previous prime is 379682136037. The next prime is 379682136089. The reversal of 379682136064 is 460631286973.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×379682136064² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 379682135996 and 379682136014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1370693494 + ... + 1370693770.

It is an arithmetic number, because the mean of its divisors is an integer number (2213474364).

Almost surely, 2^379682136064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379682136064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495818257536).

379682136064 is an abundant number, since it is smaller than the sum of its proper divisors (611954379008).

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

379682136064 is a wasteful number, since it uses less digits than its factorization.

379682136064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 55.

The spelling of 379682136064 in words is "three hundred seventy-nine billion, six hundred eighty-two million, one hundred thirty-six thousand, sixty-four".