6921284298240 has 1920 divisors, whose sum is σ = 26397367603200. Its totient is φ = 1540980080640.

The previous prime is 6921284298239. The next prime is 6921284298251. The reversal of 6921284298240 is 428924821296.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 97482877405 + ... + 97482877475.

It is an arithmetic number, because the mean of its divisors is an integer number (13748628960).

Almost surely, 2^{6921284298240} is an apocalyptic number.

6921284298240 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 6921284298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13198683801600).

6921284298240 is an abundant number, since it is smaller than the sum of its proper divisors (19476083304960).

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

6921284298240 is a wasteful number, since it uses less digits than its factorization.

6921284298240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 6921284298240 in words is "six trillion, nine hundred twenty-one billion, two hundred eighty-four million, two hundred ninety-eight thousand, two hundred forty".