6416982000 has 800 divisors, whose sum is σ = 27329125824. Its totient is φ = 1430784000.

The previous prime is 6416981981. The next prime is 6416982053. The reversal of 6416982000 is 2896146.

6416982000 is a `hidden beast` number, since 641 + 6 + 9 + 8 + 2 + 0 + 0 + 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23165862 + ... + 23166138.

Almost surely, 2^6416982000 is an apocalyptic number.

6416982000 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 6416982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13664562912).

6416982000 is an abundant number, since it is smaller than the sum of its proper divisors (20912143824).

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

6416982000 is a wasteful number, since it uses less digits than its factorization.

6416982000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6416982000 is about 80106.0671859504. The cubic root of 6416982000 is about 1858.2762385796.

The spelling of 6416982000 in words is "six billion, four hundred sixteen million, nine hundred eighty-two thousand".