946379968380 has 768 divisors, whose sum is σ = 3871623168000. Its totient is φ = 185933491200.

The previous prime is 946379968349. The next prime is 946379968421. The reversal of 946379968380 is 83869973649.

946379968380 is a `hidden beast` number, since 9 + 463 + 7 + 9 + 9 + 6 + 83 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 946379968299 and 946379968308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 583823970 + ... + 583825590.

It is an arithmetic number, because the mean of its divisors is an integer number (5041176000).

Almost surely, 2^946379968380 is an apocalyptic number.

946379968380 is a gapful number since it is divisible by the number (90) 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 946379968380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935811584000).

946379968380 is an abundant number, since it is smaller than the sum of its proper divisors (2925243199620).

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

946379968380 is a wasteful number, since it uses less digits than its factorization.

946379968380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 946379968380 in words is "nine hundred forty-six billion, three hundred seventy-nine million, nine hundred sixty-eight thousand, three hundred eighty".