6093407816640 has 336 divisors, whose sum is σ = 23359638949920. Its totient is φ = 1448834826240.

The previous prime is 6093407816597. The next prime is 6093407816647. The reversal of 6093407816640 is 466187043906.

6093407816640 is a `hidden beast` number, since 60 + 9 + 3 + 407 + 81 + 66 + 40 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6093407816647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2344941 + ... + 4205420.

It is an arithmetic number, because the mean of its divisors is an integer number (69522734970).

Almost surely, 2^{6093407816640} is an apocalyptic number.

6093407816640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6093407816640 is an abundant number, since it is smaller than the sum of its proper divisors (17266231133280).

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

6093407816640 is a wasteful number, since it uses less digits than its factorization.

6093407816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6550420 (or 6550407 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 6093407816640 in words is "six trillion, ninety-three billion, four hundred seven million, eight hundred sixteen thousand, six hundred forty".