64992866011200 has 336 divisors, whose sum is σ = 238492118920320. Its totient is φ = 17216651520000.

The previous prime is 64992866011189. The next prime is 64992866011207. The reversal of 64992866011200 is 211066829946.

64992866011200 is a `hidden beast` number, since 6 + 4 + 9 + 9 + 2 + 8 + 6 + 601 + 1 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (64992866011207) 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 47 ways as a sum of consecutive naturals, for example, 1541530 + ... + 11504870.

Almost surely, 2^{64992866011200} is an apocalyptic number.

64992866011200 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 64992866011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119246059460160).

64992866011200 is an abundant number, since it is smaller than the sum of its proper divisors (173499252909120).

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

64992866011200 is a wasteful number, since it uses less digits than its factorization.

64992866011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9963523 (or 9963502 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 64992866011200 in words is "sixty-four trillion, nine hundred ninety-two billion, eight hundred sixty-six million, eleven thousand, two hundred".