646753239000 has 768 divisors, whose sum is σ = 2460019161600. Its totient is φ = 151901568000.

The previous prime is 646753238981. The next prime is 646753239061. The reversal of 646753239000 is 932357646.

It is a super-2 number, since 2×646753239000² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 591722454 + ... + 591723546.

It is an arithmetic number, because the mean of its divisors is an integer number (3203149950).

Almost surely, 2^646753239000 is an apocalyptic number.

646753239000 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 646753239000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230009580800).

646753239000 is an abundant number, since it is smaller than the sum of its proper divisors (1813265922600).

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

646753239000 is a wasteful number, since it uses less digits than its factorization.

646753239000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 646753239000 in words is "six hundred forty-six billion, seven hundred fifty-three million, two hundred thirty-nine thousand".