6535520640 has 640 divisors, whose sum is σ = 25974479520. Its totient is φ = 1552711680.

The previous prime is 6535520627. The next prime is 6535520653. The reversal of 6535520640 is 460255356.

It is a happy number.

6535520640 is a `hidden beast` number, since 6 + 5 + 3 + 5 + 5 + 2 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (6535520627) and next prime (6535520653).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6535520595 and 6535520604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41627442 + ... + 41627598.

Almost surely, 2^6535520640 is an apocalyptic number.

6535520640 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 6535520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12987239760).

6535520640 is an abundant number, since it is smaller than the sum of its proper divisors (19438958880).

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

6535520640 is a wasteful number, since it uses less digits than its factorization.

6535520640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 6535520640 is about 80842.5670052603. The cubic root of 6535520640 is about 1869.6489222435.

Adding to 6535520640 its reverse (460255356), we get a palindrome (6995775996).

The spelling of 6535520640 in words is "six billion, five hundred thirty-five million, five hundred twenty thousand, six hundred forty".