64788350515200 has 1512 divisors, whose sum is σ = 260820583601760. Its totient is φ = 15946348953600.

The previous prime is 64788350515193. The next prime is 64788350515201. The reversal of 64788350515200 is 251505388746.

64788350515200 is a `hidden beast` number, since 6 + 4 + 7 + 8 + 83 + 505 + 1 + 52 + 0 + 0 = 666.

It is a super-2 number, since 2×64788350515200² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64788350515201) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 6307886065 + ... + 6307896335.

It is an arithmetic number, because the mean of its divisors is an integer number (172500385980).

Almost surely, 2^{64788350515200} is an apocalyptic number.

64788350515200 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 64788350515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130410291800880).

64788350515200 is an abundant number, since it is smaller than the sum of its proper divisors (196032233086560).

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

64788350515200 is a wasteful number, since it uses less digits than its factorization.

64788350515200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10347 (or 10294 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 64788350515200 in words is "sixty-four trillion, seven hundred eighty-eight billion, three hundred fifty million, five hundred fifteen thousand, two hundred".