64788000 has 96 divisors (see below), whose sum is σ = 212284800. Its totient is φ = 17273600.

The previous prime is 64787963. The next prime is 64788013. The reversal of 64788000 is 88746.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9301 + ... + 14699.

It is an arithmetic number, because the mean of its divisors is an integer number (2211300).

Almost surely, 2^64788000 is an apocalyptic number.

64788000 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 64788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106142400).

64788000 is an abundant number, since it is smaller than the sum of its proper divisors (147496800).

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

64788000 is a wasteful number, since it uses less digits than its factorization.

64788000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5427 (or 5409 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 64788000 is about 8049.0993284963. The cubic root of 64788000 is about 401.6349747057.

The spelling of 64788000 in words is "sixty-four million, seven hundred eighty-eight thousand".