6410602560 has 224 divisors, whose sum is σ = 20961851904. Its totient is φ = 1658880000.

The previous prime is 6410602559. The next prime is 6410602571. The reversal of 6410602560 is 652060146.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10666260 + ... + 10666860.

It is an arithmetic number, because the mean of its divisors is an integer number (93579696).

Almost surely, 2^6410602560 is an apocalyptic number.

6410602560 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 6410602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10480925952).

6410602560 is an abundant number, since it is smaller than the sum of its proper divisors (14551249344).

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

6410602560 is a wasteful number, since it uses less digits than its factorization.

6410602560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 6410602560 is about 80066.2385778176. The cubic root of 6410602560 is about 1857.6602328826.

The spelling of 6410602560 in words is "six billion, four hundred ten million, six hundred two thousand, five hundred sixty".