393773444064 has 1728 divisors, whose sum is σ = 1622933202240. Its totient is φ = 93117911040.

The previous prime is 393773444059. The next prime is 393773444081. The reversal of 393773444064 is 460444377393.

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

It is a self number, because there is not a number n which added to its sum of digits gives 393773444064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5394156732 + ... + 5394156804.

It is an arithmetic number, because the mean of its divisors is an integer number (939197455).

Almost surely, 2^393773444064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393773444064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811466601120).

393773444064 is an abundant number, since it is smaller than the sum of its proper divisors (1229159758176).

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

393773444064 is a wasteful number, since it uses less digits than its factorization.

393773444064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 54.

The spelling of 393773444064 in words is "three hundred ninety-three billion, seven hundred seventy-three million, four hundred forty-four thousand, sixty-four".