379605120570 has 448 divisors, whose sum is σ = 1147506038784. Its totient is φ = 89741882880.

The previous prime is 379605120569. The next prime is 379605120581. The reversal of 379605120570 is 75021506973.

379605120570 is a `hidden beast` number, since 3 + 7 + 9 + 6 + 0 + 51 + 20 + 570 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 461245179 + ... + 461246001.

It is an arithmetic number, because the mean of its divisors is an integer number (2561397408).

Almost surely, 2^379605120570 is an apocalyptic number.

379605120570 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 379605120570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573753019392).

379605120570 is an abundant number, since it is smaller than the sum of its proper divisors (767900918214).

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

379605120570 is a wasteful number, since it uses less digits than its factorization.

379605120570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 379605120570 in words is "three hundred seventy-nine billion, six hundred five million, one hundred twenty thousand, five hundred seventy".