67677525504 has 480 divisors, whose sum is σ = 221074064640. Its totient is φ = 19838730240.

The previous prime is 67677525481. The next prime is 67677525511. The reversal of 67677525504 is 40552577676.

67677525504 is a `hidden beast` number, since 6 + 7 + 67 + 7 + 525 + 50 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2183145969 + ... + 2183145999.

It is an arithmetic number, because the mean of its divisors is an integer number (460570968).

Almost surely, 2^67677525504 is an apocalyptic number.

67677525504 is a gapful number since it is divisible by the number (64) 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 67677525504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110537032320).

67677525504 is an abundant number, since it is smaller than the sum of its proper divisors (153396539136).

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

67677525504 is an equidigital number, since it uses as much as digits as its factorization.

67677525504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 54.

The spelling of 67677525504 in words is "sixty-seven billion, six hundred seventy-seven million, five hundred twenty-five thousand, five hundred four".