379476283011072 has 624 divisors, whose sum is σ = 1156376533263840. Its totient is φ = 109939843399680.

The previous prime is 379476283011061. The next prime is 379476283011097. The reversal of 379476283011072 is 270110382674973.

It is a tau number, because it is divible by the number of its divisors (624).

It is a junction number, because it is equal to n+sod(n) for n = 379476283010997 and 379476283011015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5679984004 + ... + 5680050812.

Almost surely, 2^{379476283011072} is an apocalyptic number.

379476283011072 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 379476283011072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578188266631920).

379476283011072 is an abundant number, since it is smaller than the sum of its proper divisors (776900250252768).

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

379476283011072 is a wasteful number, since it uses less digits than its factorization.

379476283011072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66948 (or 66895 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 60.

The spelling of 379476283011072 in words is "three hundred seventy-nine trillion, four hundred seventy-six billion, two hundred eighty-three million, eleven thousand, seventy-two".