649216339200 has 2592 divisors, whose sum is σ = 2938791905280. Its totient is φ = 138881433600.

The previous prime is 649216339039. The next prime is 649216339207. The reversal of 649216339200 is 2933612946.

649216339200 is a `hidden beast` number, since 6 + 4 + 9 + 2 + 1 + 633 + 9 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649216339207) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13813113577 + ... + 13813113623.

Almost surely, 2^649216339200 is an apocalyptic number.

649216339200 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 649216339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469395952640).

649216339200 is an abundant number, since it is smaller than the sum of its proper divisors (2289575566080).

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

649216339200 is a wasteful number, since it uses less digits than its factorization.

649216339200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 649216339200 in words is "six hundred forty-nine billion, two hundred sixteen million, three hundred thirty-nine thousand, two hundred".