6541628719104 has 600 divisors, whose sum is σ = 20249062310400. Its totient is φ = 2102897147904.

The previous prime is 6541628719033. The next prime is 6541628719117. The reversal of 6541628719104 is 4019178261456.

6541628719104 is a `hidden beast` number, since 6 + 5 + 4 + 1 + 628 + 7 + 1 + 9 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 6236061172 + ... + 6236062220.

It is an arithmetic number, because the mean of its divisors is an integer number (33748437184).

Almost surely, 2^{6541628719104} is an apocalyptic number.

6541628719104 is a gapful number since it is divisible by the number (64) 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 6541628719104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10124531155200).

6541628719104 is an abundant number, since it is smaller than the sum of its proper divisors (13707433591296).

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

6541628719104 is a wasteful number, since it uses less digits than its factorization.

6541628719104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 6541628719104 in words is "six trillion, five hundred forty-one billion, six hundred twenty-eight million, seven hundred nineteen thousand, one hundred four".