6429084480 has 1344 divisors, whose sum is σ = 30521940480. Its totient is φ = 1242169344.

The previous prime is 6429084449. The next prime is 6429084491. The reversal of 6429084480 is 844809246.

6429084480 is a `hidden beast` number, since 6 + 4 + 2 + 90 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 173759022 + ... + 173759058.

Almost surely, 2^6429084480 is an apocalyptic number.

6429084480 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 6429084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15260970240).

6429084480 is an abundant number, since it is smaller than the sum of its proper divisors (24092856000).

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

6429084480 is a wasteful number, since it uses less digits than its factorization.

6429084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 84 counting only the distinct ones).

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

The square root of 6429084480 is about 80181.5719476739. The cubic root of 6429084480 is about 1859.4437462537.

The spelling of 6429084480 in words is "six billion, four hundred twenty-nine million, eighty-four thousand, four hundred eighty".