65970777600 has 2160 divisors, whose sum is σ = 315831035520. Its totient is φ = 13005619200.

The previous prime is 65970777589. The next prime is 65970777601. The reversal of 65970777600 is 677707956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65970777601) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2128089585 + ... + 2128089615.

It is an arithmetic number, because the mean of its divisors is an integer number (146218072).

Almost surely, 2^65970777600 is an apocalyptic number.

65970777600 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 65970777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157915517760).

65970777600 is an abundant number, since it is smaller than the sum of its proper divisors (249860257920).

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

65970777600 is a wasteful number, since it uses less digits than its factorization.

65970777600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3889620, while the sum is 54.

The spelling of 65970777600 in words is "sixty-five billion, nine hundred seventy million, seven hundred seventy-seven thousand, six hundred".