649753838272 has 672 divisors, whose sum is σ = 1820433605760. Its totient is φ = 224054476800.

The previous prime is 649753838267. The next prime is 649753838273. The reversal of 649753838272 is 272838357946.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (649753838273) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1095706008 + ... + 1095706600.

It is an arithmetic number, because the mean of its divisors is an integer number (2708978580).

Almost surely, 2^649753838272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 649753838272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910216802880).

649753838272 is an abundant number, since it is smaller than the sum of its proper divisors (1170679767488).

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

649753838272 is a wasteful number, since it uses less digits than its factorization.

649753838272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 700 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 64.

The spelling of 649753838272 in words is "six hundred forty-nine billion, seven hundred fifty-three million, eight hundred thirty-eight thousand, two hundred seventy-two".