64127010000 has 200 divisors, whose sum is σ = 207774540864. Its totient is φ = 17037440000.

The previous prime is 64127009993. The next prime is 64127010007. The reversal of 64127010000 is 1072146.

It is an interprime number because it is at equal distance from previous prime (64127009993) and next prime (64127010007).

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×64127010000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64127010007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8426197 + ... + 8433803.

Almost surely, 2^64127010000 is an apocalyptic number.

64127010000 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 64127010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103887270432).

64127010000 is an abundant number, since it is smaller than the sum of its proper divisors (143647530864).

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

64127010000 is a wasteful number, since it uses less digits than its factorization.

64127010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7919 (or 7898 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 64127010000 its reverse (1072146), we get a palindrome (64128082146).

The spelling of 64127010000 in words is "sixty-four billion, one hundred twenty-seven million, ten thousand".