6254557920 has 288 divisors, whose sum is σ = 23101696800. Its totient is φ = 1531809792.

The previous prime is 6254557879. The next prime is 6254557943. The reversal of 6254557920 is 297554526.

6254557920 is a `hidden beast` number, since 6 + 2 + 5 + 4 + 557 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4286151 + ... + 4287609.

It is an arithmetic number, because the mean of its divisors is an integer number (80214225).

Almost surely, 2^6254557920 is an apocalyptic number.

6254557920 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 6254557920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11550848400).

6254557920 is an abundant number, since it is smaller than the sum of its proper divisors (16847138880).

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

6254557920 is a wasteful number, since it uses less digits than its factorization.

6254557920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 6254557920 is about 79085.7630676976. The cubic root of 6254557920 is about 1842.4634144046.

It can be divided in two parts, 625455 and 7920, that added together give a triangular number (633375 = T₁₁₂₅).

The spelling of 6254557920 in words is "six billion, two hundred fifty-four million, five hundred fifty-seven thousand, nine hundred twenty".