6416342460 has 72 divisors (see below), whose sum is σ = 21232267056. Its totient is φ = 1555476480.

The previous prime is 6416342447. The next prime is 6416342467. The reversal of 6416342460 is 642436146.

6416342460 is a `hidden beast` number, since 641 + 6 + 3 + 4 + 2 + 4 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6416342467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1618309 + ... + 1622268.

It is an arithmetic number, because the mean of its divisors is an integer number (294892598).

Almost surely, 2^6416342460 is an apocalyptic number.

6416342460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6416342460 is an abundant number, since it is smaller than the sum of its proper divisors (14815924596).

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

6416342460 is a wasteful number, since it uses less digits than its factorization.

6416342460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240603 (or 3240598 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 6416342460 is about 80102.0752540157. The cubic root of 6416342460 is about 1858.2145023164.

The spelling of 6416342460 in words is "six billion, four hundred sixteen million, three hundred forty-two thousand, four hundred sixty".