65790915840 has 648 divisors, whose sum is σ = 252081123840. Its totient is φ = 15828074496.

The previous prime is 65790915829. The next prime is 65790915889. The reversal of 65790915840 is 4851909756.

65790915840 is a `hidden beast` number, since 6 + 57 + 9 + 0 + 9 + 1 + 584 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91503001 + ... + 91503719.

It is an arithmetic number, because the mean of its divisors is an integer number (389014080).

Almost surely, 2^65790915840 is an apocalyptic number.

65790915840 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 65790915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126040561920).

65790915840 is an abundant number, since it is smaller than the sum of its proper divisors (186290208000).

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

65790915840 is a wasteful number, since it uses less digits than its factorization.

65790915840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 65790915840 in words is "sixty-five billion, seven hundred ninety million, nine hundred fifteen thousand, eight hundred forty".