6125456880 has 240 divisors, whose sum is σ = 20928660480. Its totient is φ = 1605353472.

The previous prime is 6125456861. The next prime is 6125456923. The reversal of 6125456880 is 886545216.

6125456880 is a `hidden beast` number, since 6 + 1 + 2 + 5 + 4 + 568 + 80 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 15993169 + ... + 15993551.

It is an arithmetic number, because the mean of its divisors is an integer number (87202752).

Almost surely, 2^6125456880 is an apocalyptic number.

6125456880 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 6125456880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10464330240).

6125456880 is an abundant number, since it is smaller than the sum of its proper divisors (14803203600).

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

6125456880 is a wasteful number, since it uses less digits than its factorization.

6125456880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 6125456880 is about 78265.2980573127. The cubic root of 6125456880 is about 1829.6983467673.

The spelling of 6125456880 in words is "six billion, one hundred twenty-five million, four hundred fifty-six thousand, eight hundred eighty".