649758040800 has 576 divisors, whose sum is σ = 2485280931840. Its totient is φ = 145804032000.

The previous prime is 649758040793. The next prime is 649758040843. The reversal of 649758040800 is 8040857946.

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 95 ways as a sum of consecutive naturals, for example, 18805941 + ... + 18840459.

It is an arithmetic number, because the mean of its divisors is an integer number (4314723840).

Almost surely, 2^649758040800 is an apocalyptic number.

649758040800 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 649758040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242640465920).

649758040800 is an abundant number, since it is smaller than the sum of its proper divisors (1835522891040).

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

649758040800 is a wasteful number, since it uses less digits than its factorization.

649758040800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34607 (or 34594 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 649758040800 in words is "six hundred forty-nine billion, seven hundred fifty-eight million, forty thousand, eight hundred".