6256958400 has 1512 divisors, whose sum is σ = 30495687040. Its totient is φ = 1231718400.

The previous prime is 6256958339. The next prime is 6256958401. The reversal of 6256958400 is 48596526.

6256958400 is a `hidden beast` number, since 6 + 2 + 5 + 69 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6256958401) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 329313591 + ... + 329313609.

It is a vampire number, since it can be written as 66528 ⋅ 94050 (with its own digits).

Almost surely, 2^6256958400 is an apocalyptic number.

6256958400 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 6256958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15247843520).

6256958400 is an abundant number, since it is smaller than the sum of its proper divisors (24238728640).

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

6256958400 is a wasteful number, since it uses less digits than its factorization.

6256958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 6256958400 is about 79100.9380475352. The cubic root of 6256958400 is about 1842.6990948442.

The spelling of 6256958400 in words is "six billion, two hundred fifty-six million, nine hundred fifty-eight thousand, four hundred".