6219248640 has 176 divisors, whose sum is σ = 21700820160. Its totient is φ = 1507655680.

The previous prime is 6219248611. The next prime is 6219248641. The reversal of 6219248640 is 468429126.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×6219248640² = 77358107292283699200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6219248592 and 6219248601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6219248641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150556 + ... + 187364.

Almost surely, 2^6219248640 is an apocalyptic number.

6219248640 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 6219248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10850410080).

6219248640 is an abundant number, since it is smaller than the sum of its proper divisors (15481571520).

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

6219248640 is a wasteful number, since it uses less digits than its factorization.

6219248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36848 (or 36830 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 6219248640 is about 78862.2130047084. The cubic root of 6219248640 is about 1838.9897415719.

The spelling of 6219248640 in words is "six billion, two hundred nineteen million, two hundred forty-eight thousand, six hundred forty".