6677159360400 has 135 divisors (see below), whose sum is σ = 23172135795601. Its totient is φ = 1780534485120.

The previous prime is 6677159360393. The next prime is 6677159360407. The reversal of 6677159360400 is 40639517766.

It is a happy number.

The square root of 6677159360400 is 2584020.

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

6677159360400 is a `hidden beast` number, since 6 + 6 + 7 + 7 + 1 + 593 + 6 + 0 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6677159360393) and next prime (6677159360407).

It can be written as a sum of positive squares in only one way, i.e., 2403777369744 + 4273381990656 = 1550412^2 + 2067216^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6677159360407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 155019667 + ... + 155062733.

Almost surely, 2^{6677159360400} is an apocalyptic number.

6677159360400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6677159360400 is the 2584020-th square number.

It is an amenable number.

6677159360400 is an abundant number, since it is smaller than the sum of its proper divisors (16494976435201).

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

6677159360400 is an frugal number, since it uses more digits than its factorization.

6677159360400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86158 (or 43077 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 6677159360400 in words is "six trillion, six hundred seventy-seven billion, one hundred fifty-nine million, three hundred sixty thousand, four hundred".