6557770800 has 240 divisors, whose sum is σ = 26675514880. Its totient is φ = 1498901760.

The previous prime is 6557770777. The next prime is 6557770829. The reversal of 6557770800 is 80777556.

6557770800 is a `hidden beast` number, since 6 + 5 + 577 + 70 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 32229 + ... + 118971.

Almost surely, 2^6557770800 is an apocalyptic number.

6557770800 is a gapful number since it is divisible by the number (60) 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 6557770800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13337757440).

6557770800 is an abundant number, since it is smaller than the sum of its proper divisors (20117744080).

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

6557770800 is a wasteful number, since it uses less digits than its factorization.

6557770800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86777 (or 86760 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The square root of 6557770800 is about 80980.0642133606. The cubic root of 6557770800 is about 1871.7682569800.

The spelling of 6557770800 in words is "six billion, five hundred fifty-seven million, seven hundred seventy thousand, eight hundred".