67377748476025 has 81 divisors (see below), whose sum is σ = 90990515477127. Its totient is φ = 49471011657600.

The previous prime is 67377748476023. The next prime is 67377748476037. The reversal of 67377748476025 is 52067484777376.

The square root of 67377748476025 is 8208395.

It is a perfect power (a square), and thus also a powerful number.

67377748476025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 32430781208809 + 34946967267216 = 5694803^2 + 5911596^2 .

It is not a de Polignac number, because 67377748476025 - 2¹ = 67377748476023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67377748476023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 156328882560 + ... + 156328882990.

Almost surely, 2^{67377748476025} is an apocalyptic number.

67377748476025 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

67377748476025 is the 8208395-th square number.

67377748476025 is the 4104198-th centered octagonal number.

It is an amenable number.

67377748476025 is a deficient number, since it is larger than the sum of its proper divisors (23612767001102).

67377748476025 is an frugal number, since it uses more digits than its factorization.

67377748476025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 2323399680, while the sum is 73.

The spelling of 67377748476025 in words is "sixty-seven trillion, three hundred seventy-seven billion, seven hundred forty-eight million, four hundred seventy-six thousand, twenty-five".