6294896640 has 256 divisors, whose sum is σ = 22397241600. Its totient is φ = 1677459456.

The previous prime is 6294896579. The next prime is 6294896651. The reversal of 6294896640 is 466984926.

6294896640 is a `hidden beast` number, since 62 + 9 + 489 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4422969 + ... + 4424391.

It is an arithmetic number, because the mean of its divisors is an integer number (87489225).

Almost surely, 2^6294896640 is an apocalyptic number.

6294896640 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 6294896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11198620800).

6294896640 is an abundant number, since it is smaller than the sum of its proper divisors (16102344960).

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

6294896640 is an equidigital number, since it uses as much as digits as its factorization.

6294896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 6294896640 is about 79340.3846726243. The cubic root of 6294896640 is about 1846.4159135662.

The spelling of 6294896640 in words is "six billion, two hundred ninety-four million, eight hundred ninety-six thousand, six hundred forty".