74776784256 has 512 divisors, whose sum is σ = 249314112000. Its totient is φ = 22197805056.

The previous prime is 74776784227. The next prime is 74776784281. The reversal of 74776784256 is 65248767747.

74776784256 is a `hidden beast` number, since 7 + 477 + 6 + 78 + 42 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 74776784193 and 74776784202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90418915 + ... + 90419741.

It is an arithmetic number, because the mean of its divisors is an integer number (486941625).

Almost surely, 2^74776784256 is an apocalyptic number.

74776784256 is a gapful number since it is divisible by the number (76) 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 74776784256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124657056000).

74776784256 is an abundant number, since it is smaller than the sum of its proper divisors (174537327744).

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

74776784256 is an equidigital number, since it uses as much as digits as its factorization.

74776784256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 868 counting only the distinct ones).

The product of its digits is 110638080, while the sum is 63.

The spelling of 74776784256 in words is "seventy-four billion, seven hundred seventy-six million, seven hundred eighty-four thousand, two hundred fifty-six".