646687962000 has 800 divisors, whose sum is σ = 2451925352448. Its totient is φ = 164073600000.

The previous prime is 646687961993. The next prime is 646687962029. The reversal of 646687962000 is 269786646.

646687962000 is a `hidden beast` number, since 6 + 4 + 6 + 6 + 8 + 7 + 9 + 620 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 306340945 + ... + 306343055.

Almost surely, 2^646687962000 is an apocalyptic number.

646687962000 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 646687962000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225962676224).

646687962000 is an abundant number, since it is smaller than the sum of its proper divisors (1805237390448).

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

646687962000 is a wasteful number, since it uses less digits than its factorization.

646687962000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 646687962000 in words is "six hundred forty-six billion, six hundred eighty-seven million, nine hundred sixty-two thousand".