649716602500 has 315 divisors, whose sum is σ = 1693616730883. Its totient is φ = 218020404000.

The previous prime is 649716602497. The next prime is 649716602503. The reversal of 649716602500 is 5206617946.

The square root of 649716602500 is 806050.

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

It is an interprime number because it is at equal distance from previous prime (649716602497) and next prime (649716602503).

It can be written as a sum of positive squares in 2 ways, for example, as 50937781636 + 598778820864 = 225694^2 + 773808^2 .

It is not an unprimeable number, because it can be changed into a prime (649716602503) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 13823757477 + ... + 13823757523.

Almost surely, 2^649716602500 is an apocalyptic number.

649716602500 is the 806050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 649716602500

649716602500 is an abundant number, since it is smaller than the sum of its proper divisors (1043900128383).

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

649716602500 is an frugal number, since it uses more digits than its factorization.

649716602500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 649716602500 in words is "six hundred forty-nine billion, seven hundred sixteen million, six hundred two thousand, five hundred".