6493790448936 has 640 divisors, whose sum is σ = 22427670988800. Its totient is φ = 1715626967040.

The previous prime is 6493790448917. The next prime is 6493790448953. The reversal of 6493790448936 is 6398440973946.

6493790448936 is a `hidden beast` number, since 6 + 4 + 9 + 3 + 7 + 90 + 448 + 93 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 395544600 + ... + 395561016.

It is an arithmetic number, because the mean of its divisors is an integer number (35043235920).

Almost surely, 2^{6493790448936} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6493790448936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11213835494400).

6493790448936 is an abundant number, since it is smaller than the sum of its proper divisors (15933880539864).

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

6493790448936 is a wasteful number, since it uses less digits than its factorization.

6493790448936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16599 (or 16586 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 72.

The spelling of 6493790448936 in words is "six trillion, four hundred ninety-three billion, seven hundred ninety million, four hundred forty-eight thousand, nine hundred thirty-six".