64120687200 has 432 divisors, whose sum is σ = 234500522256. Its totient is φ = 16474521600.

The previous prime is 64120687139. The next prime is 64120687207. The reversal of 64120687200 is 278602146.

64120687200 is a `hidden beast` number, since 641 + 2 + 0 + 6 + 8 + 7 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×64120687200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64120687207) 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 71 ways as a sum of consecutive naturals, for example, 24500292 + ... + 24502908.

It is an arithmetic number, because the mean of its divisors is an integer number (542825283).

Almost surely, 2^64120687200 is an apocalyptic number.

64120687200 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 64120687200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117250261128).

64120687200 is an abundant number, since it is smaller than the sum of its proper divisors (170379835056).

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

64120687200 is a wasteful number, since it uses less digits than its factorization.

64120687200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 64120687200 in words is "sixty-four billion, one hundred twenty million, six hundred eighty-seven thousand, two hundred".