379986769642480 has 2160 divisors, whose sum is σ = 1279518212780640. Its totient is φ = 103665932697600.

The previous prime is 379986769642463. The next prime is 379986769642481. The reversal of 379986769642480 is 84246967689973.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (88).

It is a junction number, because it is equal to n+sod(n) for n = 379986769642391 and 379986769642400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379986769642481) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 409027738656 + ... + 409027739584.

It is an arithmetic number, because the mean of its divisors is an integer number (592369542954).

Almost surely, 2^{379986769642480} 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 379986769642480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639759106390320).

379986769642480 is an abundant number, since it is smaller than the sum of its proper divisors (899531443138160).

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

379986769642480 is a wasteful number, since it uses less digits than its factorization.

379986769642480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 47405481984, while the sum is 88.

The spelling of 379986769642480 in words is "three hundred seventy-nine trillion, nine hundred eighty-six billion, seven hundred sixty-nine million, six hundred forty-two thousand, four hundred eighty".