64986482995200 has 1872 divisors, whose sum is σ = 263351097784320. Its totient is φ = 15787972362240.

The previous prime is 64986482995193. The next prime is 64986482995207. The reversal of 64986482995200 is 259928468946.

64986482995200 is a `hidden beast` number, since 6 + 4 + 9 + 8 + 6 + 4 + 8 + 2 + 99 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64986482995193) and next prime (64986482995207).

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64986482995207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25555045129 + ... + 25555047671.

Almost surely, 2^{64986482995200} is an apocalyptic number.

64986482995200 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 64986482995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131675548892160).

64986482995200 is an abundant number, since it is smaller than the sum of its proper divisors (198364614789120).

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

64986482995200 is a wasteful number, since it uses less digits than its factorization.

64986482995200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 64986482995200 in words is "sixty-four trillion, nine hundred eighty-six billion, four hundred eighty-two million, nine hundred ninety-five thousand, two hundred".