394599778560 has 1728 divisors, whose sum is σ = 1648858498560. Its totient is φ = 86208675840.

The previous prime is 394599778513. The next prime is 394599778561. The reversal of 394599778560 is 65877995493.

394599778560 is a `hidden beast` number, since 3 + 9 + 4 + 59 + 9 + 7 + 7 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (394599778561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5557743325 + ... + 5557743395.

It is an arithmetic number, because the mean of its divisors is an integer number (954200520).

Almost surely, 2^394599778560 is an apocalyptic number.

394599778560 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 394599778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824429249280).

394599778560 is an abundant number, since it is smaller than the sum of its proper divisors (1254258720000).

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

394599778560 is a wasteful number, since it uses less digits than its factorization.

394599778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 514382400, while the sum is 72.

The spelling of 394599778560 in words is "three hundred ninety-four billion, five hundred ninety-nine million, seven hundred seventy-eight thousand, five hundred sixty".