6535461240 has 768 divisors, whose sum is σ = 28169856000. Its totient is φ = 1332495360.

The previous prime is 6535461197. The next prime is 6535461241. The reversal of 6535461240 is 421645356.

6535461240 is a `hidden beast` number, since 6 + 5 + 35 + 4 + 612 + 4 + 0 = 666.

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 = 6535461195 and 6535461204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6535461241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59958306 + ... + 59958414.

It is an arithmetic number, because the mean of its divisors is an integer number (36679500).

Almost surely, 2^6535461240 is an apocalyptic number.

6535461240 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 6535461240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14084928000).

6535461240 is an abundant number, since it is smaller than the sum of its proper divisors (21634394760).

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

6535461240 is a wasteful number, since it uses less digits than its factorization.

6535461240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 6535461240 is about 80842.1996237114. The cubic root of 6535461240 is about 1869.6432579417.

The spelling of 6535461240 in words is "six billion, five hundred thirty-five million, four hundred sixty-one thousand, two hundred forty".