64800153600 has 1344 divisors, whose sum is σ = 282133608960. Its totient is φ = 12740198400.

The previous prime is 64800153599. The next prime is 64800153617. The reversal of 64800153600 is 635100846.

It is a tau number, because it is divible by the number of its divisors (1344).

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, 1062297570 + ... + 1062297630.

It is an arithmetic number, because the mean of its divisors is an integer number (209920840).

Almost surely, 2^64800153600 is an apocalyptic number.

64800153600 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 64800153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141066804480).

64800153600 is an abundant number, since it is smaller than the sum of its proper divisors (217333455360).

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

64800153600 is a wasteful number, since it uses less digits than its factorization.

64800153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 64800153600 in words is "sixty-four billion, eight hundred million, one hundred fifty-three thousand, six hundred".