6294656640 has 256 divisors, whose sum is σ = 21933296640. Its totient is φ = 1528627200.

The previous prime is 6294656639. The next prime is 6294656647. The reversal of 6294656640 is 466564926.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6294656640.

It is not an unprimeable number, because it can be changed into a prime (6294656647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1008730 + ... + 1014950.

It is an arithmetic number, because the mean of its divisors is an integer number (85676940).

Almost surely, 2^6294656640 is an apocalyptic number.

6294656640 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 6294656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10966648320).

6294656640 is an abundant number, since it is smaller than the sum of its proper divisors (15638640000).

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

6294656640 is a wasteful number, since it uses less digits than its factorization.

6294656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6291 (or 6279 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The square root of 6294656640 is about 79338.8721875979. The cubic root of 6294656640 is about 1846.3924477082.

The spelling of 6294656640 in words is "six billion, two hundred ninety-four million, six hundred fifty-six thousand, six hundred forty".