6418814976 has 576 divisors, whose sum is σ = 23304153600. Its totient is φ = 1737179136.

The previous prime is 6418814971. The next prime is 6418814989. The reversal of 6418814976 is 6794188146.

6418814976 is a `hidden beast` number, since 64 + 18 + 81 + 497 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×6418814976² = 82402371392243761152, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6418814971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62318541 + ... + 62318643.

It is an arithmetic number, because the mean of its divisors is an integer number (40458600).

Almost surely, 2^6418814976 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 6418814976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11652076800).

6418814976 is an abundant number, since it is smaller than the sum of its proper divisors (16885338624).

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

6418814976 is a wasteful number, since it uses less digits than its factorization.

6418814976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 138 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 6418814976 is about 80117.5073002150. The cubic root of 6418814976 is about 1858.4531572349.

The spelling of 6418814976 in words is "six billion, four hundred eighteen million, eight hundred fourteen thousand, nine hundred seventy-six".