6125777280 has 768 divisors, whose sum is σ = 26625231360. Its totient is φ = 1313832960.

The previous prime is 6125777279. The next prime is 6125777293. The reversal of 6125777280 is 827775216.

6125777280 is a `hidden beast` number, since 6 + 1 + 2 + 577 + 72 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18506715 + ... + 18507045.

It is an arithmetic number, because the mean of its divisors is an integer number (34668270).

Almost surely, 2^6125777280 is an apocalyptic number.

6125777280 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 6125777280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13312615680).

6125777280 is an abundant number, since it is smaller than the sum of its proper divisors (20499454080).

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

6125777280 is a wasteful number, since it uses less digits than its factorization.

6125777280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 6125777280 is about 78267.3449147216. The cubic root of 6125777280 is about 1829.7302477961.

The spelling of 6125777280 in words is "six billion, one hundred twenty-five million, seven hundred seventy-seven thousand, two hundred eighty".