772571265648 has 160 divisors (see below), whose sum is σ = 2457043072512. Its totient is φ = 203700096000.

The previous prime is 772571265643. The next prime is 772571265677. The reversal of 772571265648 is 846562175277.

It is a super-3 number, since 3×772571265648³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 772571265591 and 772571265600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772571265643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17672938 + ... + 17716598.

Almost surely, 2^772571265648 is an apocalyptic number.

772571265648 is a gapful number since it is divisible by the number (78) 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 772571265648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228521536256).

772571265648 is an abundant number, since it is smaller than the sum of its proper divisors (1684471806864).

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

772571265648 is a wasteful number, since it uses less digits than its factorization.

772571265648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47743 (or 47737 counting only the distinct ones).

The product of its digits is 39513600, while the sum is 60.

The spelling of 772571265648 in words is "seven hundred seventy-two billion, five hundred seventy-one million, two hundred sixty-five thousand, six hundred forty-eight".