64217327540100 has 216 divisors, whose sum is σ = 228851129152800. Its totient is φ = 13814819988480.

The previous prime is 64217327540087. The next prime is 64217327540131. The reversal of 64217327540100 is 104572371246.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 128236150 + ... + 128735949.

It is an arithmetic number, because the mean of its divisors is an integer number (1059495968300).

Almost surely, 2^{64217327540100} is an apocalyptic number.

64217327540100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64217327540100 is an abundant number, since it is smaller than the sum of its proper divisors (164633801612700).

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

64217327540100 is a wasteful number, since it uses less digits than its factorization.

64217327540100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256972147 (or 256972133 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 64217327540100 in words is "sixty-four trillion, two hundred seventeen billion, three hundred twenty-seven million, five hundred forty thousand, one hundred".