6434928679680 has 144 divisors (see below), whose sum is σ = 22835059534560. Its totient is φ = 1715980972032.

The previous prime is 6434928679651. The next prime is 6434928679741. The reversal of 6434928679680 is 869768294346.

6434928679680 is a `hidden beast` number, since 6 + 4 + 3 + 492 + 8 + 6 + 79 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6434928679680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6434928679599 and 6434928679608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93063367 + ... + 93132486.

Almost surely, 2^{6434928679680} is an apocalyptic number.

6434928679680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6434928679680 is an abundant number, since it is smaller than the sum of its proper divisors (16400130854880).

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

6434928679680 is a wasteful number, since it uses less digits than its factorization.

6434928679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186195883 (or 186195863 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 6434928679680 in words is "six trillion, four hundred thirty-four billion, nine hundred twenty-eight million, six hundred seventy-nine thousand, six hundred eighty".