649180828800 has 384 divisors, whose sum is σ = 2715227107200. Its totient is φ = 148384051200.

The previous prime is 649180828783. The next prime is 649180828943. The reversal of 649180828800 is 8828081946.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68110 + ... + 1141490.

It is an arithmetic number, because the mean of its divisors is an integer number (7070903925).

Almost surely, 2^649180828800 is an apocalyptic number.

649180828800 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 649180828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357613553600).

649180828800 is an abundant number, since it is smaller than the sum of its proper divisors (2066046278400).

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

649180828800 is a wasteful number, since it uses less digits than its factorization.

649180828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073421 (or 1073398 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 649180828800 in words is "six hundred forty-nine billion, one hundred eighty million, eight hundred twenty-eight thousand, eight hundred".