6249210880 has 352 divisors, whose sum is σ = 17763898752. Its totient is φ = 2084044800.

The previous prime is 6249210839. The next prime is 6249210889. The reversal of 6249210880 is 880129426.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6249210889) 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, 58403787 + ... + 58403893.

Almost surely, 2^6249210880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6249210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8881949376).

6249210880 is an abundant number, since it is smaller than the sum of its proper divisors (11514687872).

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

6249210880 is a wasteful number, since it uses less digits than its factorization.

6249210880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 6249210880 is about 79051.9505135705. The cubic root of 6249210880 is about 1841.9382222456.

The spelling of 6249210880 in words is "six billion, two hundred forty-nine million, two hundred ten thousand, eight hundred eighty".