6327601003440 has 160 divisors (see below), whose sum is σ = 22942179225600. Its totient is φ = 1598551822080.

The previous prime is 6327601003439. The next prime is 6327601003447. The reversal of 6327601003440 is 443001067236.

It is a happy number.

6327601003440 is a `hidden beast` number, since 6 + 3 + 2 + 7 + 601 + 0 + 0 + 3 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6327601003395 and 6327601003404.

It is not an unprimeable number, because it can be changed into a prime (6327601003447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77049616 + ... + 77131695.

It is an arithmetic number, because the mean of its divisors is an integer number (143388620160).

Almost surely, 2^{6327601003440} is an apocalyptic number.

6327601003440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6327601003440 is an abundant number, since it is smaller than the sum of its proper divisors (16614578222160).

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

6327601003440 is a wasteful number, since it uses less digits than its factorization.

6327601003440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154181352 (or 154181340 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 6327601003440 in words is "six trillion, three hundred twenty-seven billion, six hundred one million, three thousand, four hundred forty".