6125466240 has 448 divisors, whose sum is σ = 23144493600. Its totient is φ = 1545246720.

The previous prime is 6125466233. The next prime is 6125466241. The reversal of 6125466240 is 426645216.

6125466240 is a `hidden beast` number, since 6 + 1 + 25 + 4 + 6 + 624 + 0 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 6125466195 and 6125466204.

It is not an unprimeable number, because it can be changed into a prime (6125466241) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8864295 + ... + 8864985.

Almost surely, 2^6125466240 is an apocalyptic number.

6125466240 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 6125466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11572246800).

6125466240 is an abundant number, since it is smaller than the sum of its proper divisors (17019027360).

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

6125466240 is an equidigital number, since it uses as much as digits as its factorization.

6125466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6125466240 is about 78265.3578539062. The cubic root of 6125466240 is about 1829.6992787232.

The spelling of 6125466240 in words is "six billion, one hundred twenty-five million, four hundred sixty-six thousand, two hundred forty".