64136550600000 has 672 divisors, whose sum is σ = 238321677686400. Its totient is φ = 16910784000000.

The previous prime is 64136550599993. The next prime is 64136550600113. The reversal of 64136550600000 is 605563146.

64136550600000 is a `hidden beast` number, since 6 + 41 + 3 + 6 + 5 + 5 + 0 + 600 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×64136550600000² (a number of 28 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 480533275 + ... + 480666725.

It is an arithmetic number, because the mean of its divisors is an integer number (354645353700).

Almost surely, 2^{64136550600000} is an apocalyptic number.

64136550600000 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 64136550600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119160838843200).

64136550600000 is an abundant number, since it is smaller than the sum of its proper divisors (174185127086400).

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

64136550600000 is an equidigital number, since it uses as much as digits as its factorization.

64136550600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133586 (or 133550 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 64136550600000 in words is "sixty-four trillion, one hundred thirty-six billion, five hundred fifty million, six hundred thousand".