646164090000 has 600 divisors, whose sum is σ = 2654839579392. Its totient is φ = 144593280000.

The previous prime is 646164089981. The next prime is 646164090017. The reversal of 646164090000 is 90461646.

646164090000 is a `hidden beast` number, since 6 + 4 + 6 + 1 + 640 + 9 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12844897 + ... + 12895103.

Almost surely, 2^646164090000 is an apocalyptic number.

646164090000 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 646164090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327419789696).

646164090000 is an abundant number, since it is smaller than the sum of its proper divisors (2008675489392).

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

646164090000 is a wasteful number, since it uses less digits than its factorization.

646164090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50265 (or 50241 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 646164090000 in words is "six hundred forty-six billion, one hundred sixty-four million, ninety thousand".