6466929840 has 840 divisors, whose sum is σ = 27440350848. Its totient is φ = 1410877440.

The previous prime is 6466929793. The next prime is 6466929853. The reversal of 6466929840 is 489296646.

6466929840 is a `hidden beast` number, since 6 + 466 + 92 + 98 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 88588044 + ... + 88588116.

Almost surely, 2^6466929840 is an apocalyptic number.

6466929840 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 6466929840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13720175424).

6466929840 is an abundant number, since it is smaller than the sum of its proper divisors (20973421008).

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

6466929840 is a wasteful number, since it uses less digits than its factorization.

6466929840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 6466929840 is about 80417.2235282965. The cubic root of 6466929840 is about 1863.0852022925.

The spelling of 6466929840 in words is "six billion, four hundred sixty-six million, nine hundred twenty-nine thousand, eight hundred forty".