6216967088640 has 2560 divisors, whose sum is σ = 29038141440000. Its totient is φ = 1248539443200.

The previous prime is 6216967088623. The next prime is 6216967088711. The reversal of 6216967088640 is 468807696126.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8084482176 + ... + 8084482944.

It is an arithmetic number, because the mean of its divisors is an integer number (11343024000).

Almost surely, 2^{6216967088640} is an apocalyptic number.

6216967088640 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 6216967088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14519070720000).

6216967088640 is an abundant number, since it is smaller than the sum of its proper divisors (22821174351360).

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

6216967088640 is a wasteful number, since it uses less digits than its factorization.

6216967088640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 6216967088640 in words is "six trillion, two hundred sixteen billion, nine hundred sixty-seven million, eighty-eight thousand, six hundred forty".