64851715600 has 405 divisors, whose sum is σ = 194348741223. Its totient is φ = 20731361280.

The previous prime is 64851715597. The next prime is 64851715603. The reversal of 64851715600 is 651715846.

The square root of 64851715600 is 254660.

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 (64851715597) and next prime (64851715603).

It can be written as a sum of positive squares in 4 ways, for example, as 1516946704 + 63334768896 = 38948^2 + 251664^2 .

It is not an unprimeable number, because it can be changed into a prime (64851715603) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 606090747 + ... + 606090853.

Almost surely, 2^64851715600 is an apocalyptic number.

64851715600 is the 254660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64851715600

64851715600 is an abundant number, since it is smaller than the sum of its proper divisors (129497025623).

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

64851715600 is a wasteful number, since it uses less digits than its factorization.

64851715600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 43.

The spelling of 64851715600 in words is "sixty-four billion, eight hundred fifty-one million, seven hundred fifteen thousand, six hundred".