6427827840 has 384 divisors, whose sum is σ = 25242062400. Its totient is φ = 1382449152.

The previous prime is 6427827839. The next prime is 6427827853. The reversal of 6427827840 is 487287246.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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 6427827840.

It is a congruent number.

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, 1597351 + ... + 1601369.

Almost surely, 2^6427827840 is an apocalyptic number.

6427827840 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 6427827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12621031200).

6427827840 is an abundant number, since it is smaller than the sum of its proper divisors (18814234560).

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

6427827840 is a wasteful number, since it uses less digits than its factorization.

6427827840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4072 (or 4053 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The square root of 6427827840 is about 80173.7353501756. The cubic root of 6427827840 is about 1859.3225883266.

The spelling of 6427827840 in words is "six billion, four hundred twenty-seven million, eight hundred twenty-seven thousand, eight hundred forty".