1649006212800 has 672 divisors, whose sum is σ = 5803165716480. Its totient is φ = 409031884800.

The previous prime is 1649006212783. The next prime is 1649006212883. The reversal of 1649006212800 is 82126009461.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1134896874 + ... + 1134898326.

Almost surely, 2^{1649006212800} is an apocalyptic number.

1649006212800 is a gapful number since it is divisible by the number (10) 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 1649006212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901582858240).

1649006212800 is an abundant number, since it is smaller than the sum of its proper divisors (4154159503680).

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

1649006212800 is a wasteful number, since it uses less digits than its factorization.

1649006212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 1649006212800 in words is "one trillion, six hundred forty-nine billion, six million, two hundred twelve thousand, eight hundred".