6427549920 has 384 divisors, whose sum is σ = 23075684352. Its totient is φ = 1489766400.

The previous prime is 6427549913. The next prime is 6427549967. The reversal of 6427549920 is 299457246.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6427549920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17513577 + ... + 17513943.

It is an arithmetic number, because the mean of its divisors is an integer number (60092928).

Almost surely, 2^6427549920 is an apocalyptic number.

6427549920 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 6427549920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11537842176).

6427549920 is an abundant number, since it is smaller than the sum of its proper divisors (16648134432).

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

6427549920 is a wasteful number, since it uses less digits than its factorization.

6427549920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 6427549920 is about 80172.0020954947. The cubic root of 6427549920 is about 1859.2957907627.

The spelling of 6427549920 in words is "six billion, four hundred twenty-seven million, five hundred forty-nine thousand, nine hundred twenty".