379551639179520 has 1440 divisors, whose sum is σ = 1522157932310400. Its totient is φ = 89740747210752.

The previous prime is 379551639179473. The next prime is 379551639179521. The reversal of 379551639179520 is 25971936155973.

379551639179520 is a `hidden beast` number, since 3 + 7 + 9 + 5 + 5 + 1 + 6 + 3 + 91 + 7 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (379551639179521) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5994434902 + ... + 5994498218.

It is an arithmetic number, because the mean of its divisors is an integer number (1057054119660).

Almost surely, 2^{379551639179520} is an apocalyptic number.

379551639179520 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 379551639179520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761078966155200).

379551639179520 is an abundant number, since it is smaller than the sum of its proper divisors (1142606293130880).

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

379551639179520 is a wasteful number, since it uses less digits than its factorization.

379551639179520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63565 (or 63542 counting only the distinct ones).

The product of its (nonzero) digits is 482233500, while the sum is 72.

The spelling of 379551639179520 in words is "three hundred seventy-nine trillion, five hundred fifty-one billion, six hundred thirty-nine million, one hundred seventy-nine thousand, five hundred twenty".