649968480 has 288 divisors, whose sum is σ = 2684695104. Its totient is φ = 139788288.

The previous prime is 649968467. The next prime is 649968493. The reversal of 649968480 is 84869946.

It is an interprime number because it is at equal distance from previous prime (649968467) and next prime (649968493).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169464 + ... + 173256.

It is an arithmetic number, because the mean of its divisors is an integer number (9321858).

Almost surely, 2^649968480 is an apocalyptic number.

649968480 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 649968480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342347552).

649968480 is an abundant number, since it is smaller than the sum of its proper divisors (2034726624).

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

649968480 is a wasteful number, since it uses less digits than its factorization.

649968480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 649968480 is about 25494.4794024118. The cubic root of 649968480 is about 866.2251031368.

The spelling of 649968480 in words is "six hundred forty-nine million, nine hundred sixty-eight thousand, four hundred eighty".