649056672 has 192 divisors, whose sum is σ = 2132766720. Its totient is φ = 190252800.

The previous prime is 649056649. The next prime is 649056673. The reversal of 649056672 is 276650946.

649056672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (649056673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293523 + ... + 295725.

It is an arithmetic number, because the mean of its divisors is an integer number (11108160).

Almost surely, 2^649056672 is an apocalyptic number.

649056672 is a gapful number since it is divisible by the number (62) 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 649056672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066383360).

649056672 is an abundant number, since it is smaller than the sum of its proper divisors (1483710048).

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

649056672 is a wasteful number, since it uses less digits than its factorization.

649056672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 649056672 is about 25476.5906667278. The cubic root of 649056672 is about 865.8198524058.

The spelling of 649056672 in words is "six hundred forty-nine million, fifty-six thousand, six hundred seventy-two".