6421272480 has 288 divisors, whose sum is σ = 26132730624. Its totient is φ = 1403854848.

The previous prime is 6421272469. The next prime is 6421272497. The reversal of 6421272480 is 842721246.

6421272480 is a `hidden beast` number, since 642 + 1 + 2 + 7 + 2 + 4 + 8 + 0 = 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217992 + ... + 245688.

It is an arithmetic number, because the mean of its divisors is an integer number (90738648).

Almost surely, 2^6421272480 is an apocalyptic number.

6421272480 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 6421272480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13066365312).

6421272480 is an abundant number, since it is smaller than the sum of its proper divisors (19711458144).

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

6421272480 is a wasteful number, since it uses less digits than its factorization.

6421272480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27748 (or 27737 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 6421272480 is about 80132.8427050981. The cubic root of 6421272480 is about 1858.6903024270.

The spelling of 6421272480 in words is "six billion, four hundred twenty-one million, two hundred seventy-two thousand, four hundred eighty".