4000006471680 has 544 divisors, whose sum is σ = 14351582445120. Its totient is φ = 1056964608000.

The previous prime is 4000006471667. The next prime is 4000006471691. The reversal of 4000006471680 is 861746000004.

4000006471680 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 0 + 0 + 647 + 1 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 999749680 + ... + 999753680.

Almost surely, 2^{4000006471680} is an apocalyptic number.

4000006471680 is a gapful number since it is divisible by the number (40) 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 4000006471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7175791222560).

4000006471680 is an abundant number, since it is smaller than the sum of its proper divisors (10351575973440).

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

4000006471680 is an equidigital number, since it uses as much as digits as its factorization.

4000006471680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4160 (or 4124 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 4000006471680 in words is "four trillion, six million, four hundred seventy-one thousand, six hundred eighty".