6418379520 has 576 divisors, whose sum is σ = 26678615040. Its totient is φ = 1430618112.

The previous prime is 6418379501. The next prime is 6418379521. The reversal of 6418379520 is 259738146.

6418379520 is a `hidden beast` number, since 6 + 41 + 83 + 7 + 9 + 520 = 666.

6418379520 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

6418379520 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (6418379521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10402252 + ... + 10402868.

It is an arithmetic number, because the mean of its divisors is an integer number (46317040).

It is a 2-persistent number, because it is pandigital, and so is 2⋅6418379520 = 12836759040, but 3⋅6418379520 = 19255138560 is not.

Almost surely, 2^6418379520 is an apocalyptic number.

6418379520 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 6418379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13339307520).

6418379520 is an abundant number, since it is smaller than the sum of its proper divisors (20260235520).

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

6418379520 is a wasteful number, since it uses less digits than its factorization.

6418379520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6418379520 is about 80114.7896458575. The cubic root of 6418379520 is about 1858.4111301171.

The spelling of 6418379520 in words is "six billion, four hundred eighteen million, three hundred seventy-nine thousand, five hundred twenty".