6439020480 has 560 divisors, whose sum is σ = 24071360544. Its totient is φ = 1632337920.

The previous prime is 6439020463. The next prime is 6439020491. The reversal of 6439020480 is 840209346.

It is a happy number.

6439020480 is a `hidden beast` number, since 64 + 390 + 204 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77578519 + ... + 77578601.

Almost surely, 2^6439020480 is an apocalyptic number.

6439020480 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 6439020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12035680272).

6439020480 is an abundant number, since it is smaller than the sum of its proper divisors (17632340064).

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

6439020480 is a wasteful number, since it uses less digits than its factorization.

6439020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6439020480 is about 80243.5074009106. The cubic root of 6439020480 is about 1860.4011621710.

The spelling of 6439020480 in words is "six billion, four hundred thirty-nine million, twenty thousand, four hundred eighty".