65772224770560 has 1920 divisors, whose sum is σ = 277863286111488. Its totient is φ = 13112967168000.

The previous prime is 65772224770559. The next prime is 65772224770667. The reversal of 65772224770560 is 6507742227756.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 65772224770494 and 65772224770503.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10352936344 + ... + 10352942696.

Almost surely, 2^{65772224770560} is an apocalyptic number.

65772224770560 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 65772224770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138931643055744).

65772224770560 is an abundant number, since it is smaller than the sum of its proper divisors (212091061340928).

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

65772224770560 is a wasteful number, since it uses less digits than its factorization.

65772224770560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6506 (or 6483 counting only the distinct ones).

The product of its (nonzero) digits is 69148800, while the sum is 60.

The spelling of 65772224770560 in words is "sixty-five trillion, seven hundred seventy-two billion, two hundred twenty-four million, seven hundred seventy thousand, five hundred sixty".