6513457860 has 960 divisors, whose sum is σ = 28031173632. Its totient is φ = 1226244096.

The previous prime is 6513457799. The next prime is 6513457871. The reversal of 6513457860 is 687543156.

6513457860 is a `hidden beast` number, since 6 + 5 + 13 + 4 + 578 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 57641164 + ... + 57641276.

Almost surely, 2^6513457860 is an apocalyptic number.

6513457860 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 6513457860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14015586816).

6513457860 is an abundant number, since it is smaller than the sum of its proper divisors (21517715772).

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

6513457860 is a wasteful number, since it uses less digits than its factorization.

6513457860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 6513457860 is about 80705.9964314920. The cubic root of 6513457860 is about 1867.5426805942.

The spelling of 6513457860 in words is "six billion, five hundred thirteen million, four hundred fifty-seven thousand, eight hundred sixty".