6427717680 has 80 divisors (see below), whose sum is σ = 21098051424. Its totient is φ = 1613230080.

The previous prime is 6427717631. The next prime is 6427717691. The reversal of 6427717680 is 867177246.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 783631 + ... + 791790.

Almost surely, 2^6427717680 is an apocalyptic number.

6427717680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6427717680 is an abundant number, since it is smaller than the sum of its proper divisors (14670333744).

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

6427717680 is a wasteful number, since it uses less digits than its factorization.

6427717680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575454 (or 1575448 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The square root of 6427717680 is about 80173.0483392019. The cubic root of 6427717680 is about 1859.3119665867.

The spelling of 6427717680 in words is "six billion, four hundred twenty-seven million, seven hundred seventeen thousand, six hundred eighty".