6404329680 has 160 divisors (see below), whose sum is σ = 23421739008. Its totient is φ = 1416614400.

The previous prime is 6404329643. The next prime is 6404329693. The reversal of 6404329680 is 869234046.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 9406 + ... + 113565.

Almost surely, 2^6404329680 is an apocalyptic number.

6404329680 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 6404329680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11710869504).

6404329680 is an abundant number, since it is smaller than the sum of its proper divisors (17017409328).

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

6404329680 is a wasteful number, since it uses less digits than its factorization.

6404329680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123025 (or 123019 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 6404329680 is about 80027.0559248558. The cubic root of 6404329680 is about 1857.0541181155.

The spelling of 6404329680 in words is "six billion, four hundred four million, three hundred twenty-nine thousand, six hundred eighty".