65333790720 has 864 divisors, whose sum is σ = 263582242560. Its totient is φ = 14839971840.

The previous prime is 65333790701. The next prime is 65333790757. The reversal of 65333790720 is 2709733356.

65333790720 is a `hidden beast` number, since 6 + 533 + 3 + 7 + 90 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 292976529 + ... + 292976751.

It is an arithmetic number, because the mean of its divisors is an integer number (305072040).

Almost surely, 2^65333790720 is an apocalyptic number.

65333790720 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 65333790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131791121280).

65333790720 is an abundant number, since it is smaller than the sum of its proper divisors (198248451840).

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

65333790720 is a wasteful number, since it uses less digits than its factorization.

65333790720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 45.

The spelling of 65333790720 in words is "sixty-five billion, three hundred thirty-three million, seven hundred ninety thousand, seven hundred twenty".