6994356480000 has 1440 divisors, whose sum is σ = 26542459944000. Its totient is φ = 1839366144000.

The previous prime is 6994356479969. The next prime is 6994356480031. The reversal of 6994356480000 is 846534996.

It is an interprime number because it is at equal distance from previous prime (6994356479969) and next prime (6994356480031).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 35147519901 + ... + 35147520099.

It is an arithmetic number, because the mean of its divisors is an integer number (18432263850).

Almost surely, 2^{6994356480000} is an apocalyptic number.

6994356480000 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 6994356480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13271229972000).

6994356480000 is an abundant number, since it is smaller than the sum of its proper divisors (19548103464000).

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

6994356480000 is an equidigital number, since it uses as much as digits as its factorization.

6994356480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 6994356480000 in words is "six trillion, nine hundred ninety-four billion, three hundred fifty-six million, four hundred eighty thousand".