379068230661120 has 10560 divisors, whose sum is σ = 2056109945218560. Its totient is φ = 64577517649920.

The previous prime is 379068230661083. The next prime is 379068230661151. The reversal of 379068230661120 is 21166032860973.

379068230661120 is a `hidden beast` number, since 379 + 0 + 6 + 8 + 230 + 6 + 6 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (10560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 1474973660032 + ... + 1474973660288.

It is an arithmetic number, because the mean of its divisors is an integer number (194707381176).

Almost surely, 2^{379068230661120} is an apocalyptic number.

379068230661120 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 379068230661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028054972609280).

379068230661120 is an abundant number, since it is smaller than the sum of its proper divisors (1677041714557440).

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

379068230661120 is a wasteful number, since it uses less digits than its factorization.

379068230661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 379068230661120 in words is "three hundred seventy-nine trillion, sixty-eight billion, two hundred thirty million, six hundred sixty-one thousand, one hundred twenty".