649683003654400 has 729 divisors, whose sum is σ = 1743823803955653. Its totient is φ = 239603628441600.

The previous prime is 649683003654371. The next prime is 649683003654403. The reversal of 649683003654400 is 4456300386946.

The square root of 649683003654400 is 25488880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 462241056043264 + 187441947611136 = 21499792^2 + 13690944^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (649683003654403) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1588467001396 + ... + 1588467001804.

Almost surely, 2^{649683003654400} is an apocalyptic number.

649683003654400 is the 25488880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 649683003654400

649683003654400 is an abundant number, since it is smaller than the sum of its proper divisors (1094140800301253).

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

649683003654400 is an frugal number, since it uses more digits than its factorization.

649683003654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 58.

The spelling of 649683003654400 in words is "six hundred forty-nine trillion, six hundred eighty-three billion, three million, six hundred fifty-four thousand, four hundred".