6414542064 has 160 divisors (see below), whose sum is σ = 21106506240. Its totient is φ = 1827145728.

The previous prime is 6414542039. The next prime is 6414542077. The reversal of 6414542064 is 4602454146.

6414542064 is a `hidden beast` number, since 641 + 4 + 5 + 4 + 2 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×6414542064² = 82292699781650760192, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1046272 + ... + 1052384.

It is an arithmetic number, because the mean of its divisors is an integer number (131915664).

Almost surely, 2^6414542064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6414542064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10553253120).

6414542064 is an abundant number, since it is smaller than the sum of its proper divisors (14691964176).

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

6414542064 is a wasteful number, since it uses less digits than its factorization.

6414542064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6484 (or 6472 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 6414542064 is about 80090.8363297575. The cubic root of 6414542064 is about 1858.0406839279.

The spelling of 6414542064 in words is "six billion, four hundred fourteen million, five hundred forty-two thousand, sixty-four".