677970153379600 has 45 divisors (see below), whose sum is σ = 1628824544614623. Its totient is φ = 271187853048960.

The previous prime is 677970153379579. The next prime is 677970153379733. The reversal of 677970153379600 is 6973351079776.

The square root of 677970153379600 is 26037860.

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

It can be written as a sum of positive squares in 4 ways, for example, as 96347024185104 + 581623129194496 = 9815652^2 + 24116864^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 677970153379600.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 520106254 + ... + 521408146.

Almost surely, 2^{677970153379600} is an apocalyptic number.

677970153379600 is the 26037860-th square number.

It is an amenable number.

677970153379600 is an abundant number, since it is smaller than the sum of its proper divisors (950854391235023).

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

677970153379600 is an frugal number, since it uses more digits than its factorization.

677970153379600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603804 (or 1301900 counting only the distinct ones).

The product of its (nonzero) digits is 315059220, while the sum is 70.

The spelling of 677970153379600 in words is "six hundred seventy-seven trillion, nine hundred seventy billion, one hundred fifty-three million, three hundred seventy-nine thousand, six hundred".