6290884560 has 320 divisors, whose sum is σ = 21278638080. Its totient is φ = 1532805120.

The previous prime is 6290884549. The next prime is 6290884571. The reversal of 6290884560 is 654880926.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6290884549) and next prime (6290884571).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16598451 + ... + 16598829.

It is an arithmetic number, because the mean of its divisors is an integer number (66495744).

Almost surely, 2^6290884560 is an apocalyptic number.

6290884560 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 6290884560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10639319040).

6290884560 is an abundant number, since it is smaller than the sum of its proper divisors (14987753520).

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

6290884560 is a wasteful number, since it uses less digits than its factorization.

6290884560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 6290884560 is about 79315.0966714408. The cubic root of 6290884560 is about 1846.0235564355.

The spelling of 6290884560 in words is "six billion, two hundred ninety million, eight hundred eighty-four thousand, five hundred sixty".