6571513993968 has 800 divisors, whose sum is σ = 25110689241600. Its totient is φ = 1606297651200.

The previous prime is 6571513993921. The next prime is 6571513993973. The reversal of 6571513993968 is 8693993151756.

6571513993968 is a `hidden beast` number, since 6 + 5 + 71 + 513 + 9 + 9 + 39 + 6 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6571513993896 and 6571513993905.

It is a congruent number.

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, 752660163 + ... + 752668893.

It is an arithmetic number, because the mean of its divisors is an integer number (31388361552).

Almost surely, 2^{6571513993968} is an apocalyptic number.

6571513993968 is a gapful number since it is divisible by the number (68) 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 6571513993968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12555344620800).

6571513993968 is an abundant number, since it is smaller than the sum of its proper divisors (18539175247632).

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

6571513993968 is a wasteful number, since it uses less digits than its factorization.

6571513993968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8816 (or 8771 counting only the distinct ones).

The product of its digits is 330674400, while the sum is 72.

The spelling of 6571513993968 in words is "six trillion, five hundred seventy-one billion, five hundred thirteen million, nine hundred ninety-three thousand, nine hundred sixty-eight".