9777828857472 has 1280 divisors, whose sum is σ = 33218423884800. Its totient is φ = 2851166822400.

The previous prime is 9777828857437. The next prime is 9777828857473. The reversal of 9777828857472 is 2747588287779.

9777828857472 is a `hidden beast` number, since 9 + 7 + 7 + 78 + 28 + 8 + 57 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (6195732480) is a multiple of the sum of its prime factors (384).

It is a junction number, because it is equal to n+sod(n) for n = 9777828857391 and 9777828857400.

It is not an unprimeable number, because it can be changed into a prime (9777828857473) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 43074135823 + ... + 43074136049.

It is an arithmetic number, because the mean of its divisors is an integer number (25951893660).

Almost surely, 2^{9777828857472} 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 9777828857472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16609211942400).

9777828857472 is an abundant number, since it is smaller than the sum of its proper divisors (23440595027328).

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

9777828857472 is a wasteful number, since it uses less digits than its factorization.

9777828857472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 337 counting only the distinct ones).

The product of its digits is 6195732480, while the sum is 81.

The spelling of 9777828857472 in words is "nine trillion, seven hundred seventy-seven billion, eight hundred twenty-eight million, eight hundred fifty-seven thousand, four hundred seventy-two".