640312024320 has 360 divisors, whose sum is σ = 2293108984320. Its totient is φ = 170604195840.

The previous prime is 640312024249. The next prime is 640312024337. The reversal of 640312024320 is 23420213046.

640312024320 is a `hidden beast` number, since 6 + 4 + 0 + 312 + 0 + 24 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×640312024320³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 182371365 + ... + 182374875.

Almost surely, 2^640312024320 is an apocalyptic number.

640312024320 is a gapful number since it is divisible by the number (60) 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 640312024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146554492160).

640312024320 is an abundant number, since it is smaller than the sum of its proper divisors (1652796960000).

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

640312024320 is a wasteful number, since it uses less digits than its factorization.

640312024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5303 (or 5280 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 640312024320 its reverse (23420213046), we get a palindrome (663732237366).

The spelling of 640312024320 in words is "six hundred forty billion, three hundred twelve million, twenty-four thousand, three hundred twenty".