649029905920 has 480 divisors, whose sum is σ = 1842674248800. Its totient is φ = 218258472960.

The previous prime is 649029905803. The next prime is 649029905921. The reversal of 649029905920 is 29509920946.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649029905921) by changing a digit.

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, 310688236 + ... + 310690324.

It is an arithmetic number, because the mean of its divisors is an integer number (3838904685).

Almost surely, 2^649029905920 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 649029905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921337124400).

649029905920 is an abundant number, since it is smaller than the sum of its proper divisors (1193644342880).

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

649029905920 is a wasteful number, since it uses less digits than its factorization.

649029905920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 55.

The spelling of 649029905920 in words is "six hundred forty-nine billion, twenty-nine million, nine hundred five thousand, nine hundred twenty".