64071249000 has 512 divisors, whose sum is σ = 243096422400. Its totient is φ = 13847040000.

The previous prime is 64071248887. The next prime is 64071249013. The reversal of 64071249000 is 94217046.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10655995 + ... + 10662005.

It is an arithmetic number, because the mean of its divisors is an integer number (474797700).

Almost surely, 2^64071249000 is an apocalyptic number.

64071249000 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 64071249000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121548211200).

64071249000 is an abundant number, since it is smaller than the sum of its proper divisors (179025173400).

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

64071249000 is a wasteful number, since it uses less digits than its factorization.

64071249000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6082 (or 6068 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 64071249000 in words is "sixty-four billion, seventy-one million, two hundred forty-nine thousand".