677504256 has 288 divisors, whose sum is σ = 2197708800. Its totient is φ = 182476800.

The previous prime is 677504251. The next prime is 677504291. The reversal of 677504256 is 652405776.

It is a super-2 number, since 2×677504256² = 918024033796227072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677504251) 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, 3404445 + ... + 3404643.

Almost surely, 2^677504256 is an apocalyptic number.

677504256 is a gapful number since it is divisible by the number (66) 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 677504256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098854400).

677504256 is an abundant number, since it is smaller than the sum of its proper divisors (1520204544).

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

677504256 is a wasteful number, since it uses less digits than its factorization.

677504256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 677504256 is about 26028.9119250114. The cubic root of 677504256 is about 878.2887958466.

The spelling of 677504256 in words is "six hundred seventy-seven million, five hundred four thousand, two hundred fifty-six".