379533418560 has 336 divisors, whose sum is σ = 1355071378752. Its totient is φ = 101112883200.

The previous prime is 379533418489. The next prime is 379533418571. The reversal of 379533418560 is 65814335973.

379533418560 is a `hidden beast` number, since 3 + 7 + 9 + 5 + 33 + 41 + 8 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 379533418497 and 379533418506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126047455 + ... + 126050465.

It is an arithmetic number, because the mean of its divisors is an integer number (4032950532).

Almost surely, 2^379533418560 is an apocalyptic number.

379533418560 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 379533418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677535689376).

379533418560 is an abundant number, since it is smaller than the sum of its proper divisors (975537960192).

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

379533418560 is a wasteful number, since it uses less digits than its factorization.

379533418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4664 (or 4642 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 379533418560 in words is "three hundred seventy-nine billion, five hundred thirty-three million, four hundred eighteen thousand, five hundred sixty".