379089070080000 has 4800 divisors, whose sum is σ = 1628915956039680. Its totient is φ = 76441190400000.

The previous prime is 379089070079999. The next prime is 379089070080013. The reversal of 379089070080000 is 80070980973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (4800).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5193000959964 + ... + 5193000960036.

Almost surely, 2^{379089070080000} is an apocalyptic number.

379089070080000 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 379089070080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814457978019840).

379089070080000 is an abundant number, since it is smaller than the sum of its proper divisors (1249826885959680).

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

379089070080000 is an equidigital number, since it uses as much as digits as its factorization.

379089070080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The spelling of 379089070080000 in words is "three hundred seventy-nine trillion, eighty-nine billion, seventy million, eighty thousand".