772361112595968 has 2560 divisors, whose sum is σ = 2896201059840000. Its totient is φ = 205012907753472.

The previous prime is 772361112595967. The next prime is 772361112595979. The reversal of 772361112595968 is 869595211163277.

772361112595968 is a `hidden beast` number, since 7 + 7 + 2 + 3 + 6 + 1 + 1 + 1 + 25 + 9 + 596 + 8 = 666.

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 = 772361112595896 and 772361112595905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772361112595967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 386760696346 + ... + 386760698342.

It is an arithmetic number, because the mean of its divisors is an integer number (1131328539000).

Almost surely, 2^{772361112595968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772361112595968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448100529920000).

772361112595968 is an abundant number, since it is smaller than the sum of its proper divisors (2123839947244032).

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

772361112595968 is an frugal number, since it uses more digits than its factorization.

772361112595968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2081 counting only the distinct ones).

The product of its digits is 342921600, while the sum is 72.

The spelling of 772361112595968 in words is "seven hundred seventy-two trillion, three hundred sixty-one billion, one hundred twelve million, five hundred ninety-five thousand, nine hundred sixty-eight".