6254277120 has 960 divisors, whose sum is σ = 28240692480. Its totient is φ = 1242169344.

The previous prime is 6254277119. The next prime is 6254277131. The reversal of 6254277120 is 217724526.

It is a happy number.

6254277120 is a `hidden beast` number, since 625 + 4 + 2 + 7 + 7 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39836082 + ... + 39836238.

It is an arithmetic number, because the mean of its divisors is an integer number (29417388).

Almost surely, 2^6254277120 is an apocalyptic number.

6254277120 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 6254277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14120346240).

6254277120 is an abundant number, since it is smaller than the sum of its proper divisors (21986415360).

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

6254277120 is a wasteful number, since it uses less digits than its factorization.

6254277120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 6254277120 is about 79083.9877598493. The cubic root of 6254277120 is about 1842.4358413677.

The spelling of 6254277120 in words is "six billion, two hundred fifty-four million, two hundred seventy-seven thousand, one hundred twenty".