6484942080 has 288 divisors, whose sum is σ = 23758801920. Its totient is φ = 1673256960.

The previous prime is 6484942073. The next prime is 6484942099. The reversal of 6484942080 is 802494846.

6484942080 is a `hidden beast` number, since 6 + 484 + 94 + 2 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1068334 + ... + 1074386.

It is an arithmetic number, because the mean of its divisors is an integer number (82495840).

Almost surely, 2^6484942080 is an apocalyptic number.

6484942080 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 6484942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11879400960).

6484942080 is an abundant number, since it is smaller than the sum of its proper divisors (17273859840).

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

6484942080 is a wasteful number, since it uses less digits than its factorization.

6484942080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6114 (or 6094 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 6484942080 is about 80529.1380805730. The cubic root of 6484942080 is about 1864.8133396646.

It can be divided in two parts, 64849 and 42080, that added together give a square (106929 = 327²).

The spelling of 6484942080 in words is "six billion, four hundred eighty-four million, nine hundred forty-two thousand, eighty".