6214440960 has 1152 divisors, whose sum is σ = 28776384000. Its totient is φ = 1242169344.

The previous prime is 6214440919. The next prime is 6214440977. The reversal of 6214440960 is 690444126.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 327075831 + ... + 327075849.

It is an arithmetic number, because the mean of its divisors is an integer number (24979500).

Almost surely, 2^6214440960 is an apocalyptic number.

6214440960 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 6214440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14388192000).

6214440960 is an abundant number, since it is smaller than the sum of its proper divisors (22561943040).

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

6214440960 is a wasteful number, since it uses less digits than its factorization.

6214440960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6214440960 is about 78831.7255931900. The cubic root of 6214440960 is about 1838.5157532662.

The spelling of 6214440960 in words is "six billion, two hundred fourteen million, four hundred forty thousand, nine hundred sixty".