6327372205440 has 2560 divisors, whose sum is σ = 28215589248000. Its totient is φ = 1328404561920.

The previous prime is 6327372205423. The next prime is 6327372205471. The reversal of 6327372205440 is 445022737236.

6327372205440 is a `hidden beast` number, since 6 + 32 + 7 + 3 + 72 + 2 + 0 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 23521829626 + ... + 23521829894.

It is an arithmetic number, because the mean of its divisors is an integer number (11021714550).

Almost surely, 2^{6327372205440} is an apocalyptic number.

6327372205440 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 6327372205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14107794624000).

6327372205440 is an abundant number, since it is smaller than the sum of its proper divisors (21888217042560).

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

6327372205440 is a wasteful number, since it uses less digits than its factorization.

6327372205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 6327372205440 in words is "six trillion, three hundred twenty-seven billion, three hundred seventy-two million, two hundred five thousand, four hundred forty".