6711575640 has 256 divisors, whose sum is σ = 25913917440. Its totient is φ = 1349568000.

The previous prime is 6711575617. The next prime is 6711575653. The reversal of 6711575640 is 465751176.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6711575592 and 6711575601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 274725 + ... + 298155.

It is an arithmetic number, because the mean of its divisors is an integer number (101226240).

Almost surely, 2^6711575640 is an apocalyptic number.

6711575640 is a gapful number since it is divisible by the number (60) 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 6711575640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12956958720).

6711575640 is an abundant number, since it is smaller than the sum of its proper divisors (19202341800).

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

6711575640 is a wasteful number, since it uses less digits than its factorization.

6711575640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23494 (or 23490 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The square root of 6711575640 is about 81924.2066791007. The cubic root of 6711575640 is about 1886.2886998275.

The spelling of 6711575640 in words is "six billion, seven hundred eleven million, five hundred seventy-five thousand, six hundred forty".