6410514960 has 480 divisors, whose sum is σ = 23544743040. Its totient is φ = 1618735104.

The previous prime is 6410514941. The next prime is 6410514967. The reversal of 6410514960 is 694150146.

6410514960 is a `hidden beast` number, since 64 + 105 + 1 + 496 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6410514967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46792012 + ... + 46792148.

It is an arithmetic number, because the mean of its divisors is an integer number (49051548).

Almost surely, 2^6410514960 is an apocalyptic number.

6410514960 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 6410514960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11772371520).

6410514960 is an abundant number, since it is smaller than the sum of its proper divisors (17134228080).

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

6410514960 is a wasteful number, since it uses less digits than its factorization.

6410514960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6410514960 is about 80065.6915288939. The cubic root of 6410514960 is about 1857.6517712871.

The spelling of 6410514960 in words is "six billion, four hundred ten million, five hundred fourteen thousand, nine hundred sixty".