65710970599680 has 3456 divisors, whose sum is σ = 290875550515200. Its totient is φ = 14022181748736.

The previous prime is 65710970599679. The next prime is 65710970599693. The reversal of 65710970599680 is 8699507901756.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×65710970599680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 65710970599599 and 65710970599608.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 791698440919 + ... + 791698441001.

It is an arithmetic number, because the mean of its divisors is an integer number (84165379200).

Almost surely, 2^{65710970599680} is an apocalyptic number.

65710970599680 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 65710970599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145437775257600).

65710970599680 is an abundant number, since it is smaller than the sum of its proper divisors (225164579915520).

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

65710970599680 is an frugal number, since it uses more digits than its factorization.

65710970599680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 257191200, while the sum is 72.

The spelling of 65710970599680 in words is "sixty-five trillion, seven hundred ten billion, nine hundred seventy million, five hundred ninety-nine thousand, six hundred eighty".