64252000032 has 384 divisors, whose sum is σ = 197934347520. Its totient is φ = 18063360000.

The previous prime is 64252000019. The next prime is 64252000039. The reversal of 64252000032 is 23000025246.

It is a super-2 number, since 2×64252000032² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 64251999966 and 64252000011.

It is not an unprimeable number, because it can be changed into a prime (64252000039) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91657282 + ... + 91657982.

It is an arithmetic number, because the mean of its divisors is an integer number (515454030).

Almost surely, 2^64252000032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64252000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98967173760).

64252000032 is an abundant number, since it is smaller than the sum of its proper divisors (133682347488).

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

64252000032 is a wasteful number, since it uses less digits than its factorization.

64252000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 64252000032 its reverse (23000025246), we get a palindrome (87252025278).

The spelling of 64252000032 in words is "sixty-four billion, two hundred fifty-two million, thirty-two", and thus it is an aban number.