640334794176 has 1344 divisors, whose sum is σ = 2503466265600. Its totient is φ = 158505984000.

The previous prime is 640334794159. The next prime is 640334794181. The reversal of 640334794176 is 671497433046.

640334794176 is a `hidden beast` number, since 6 + 40 + 3 + 347 + 94 + 176 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 4078565490 + ... + 4078565646.

Almost surely, 2^640334794176 is an apocalyptic number.

640334794176 is a gapful number since it is divisible by the number (66) 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 640334794176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251733132800).

640334794176 is an abundant number, since it is smaller than the sum of its proper divisors (1863131471424).

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

640334794176 is a wasteful number, since it uses less digits than its factorization.

640334794176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 640334794176 in words is "six hundred forty billion, three hundred thirty-four million, seven hundred ninety-four thousand, one hundred seventy-six".