6994005873120 has 1920 divisors, whose sum is σ = 29749084130304. Its totient is φ = 1514323869696.

The previous prime is 6994005873119. The next prime is 6994005873143. The reversal of 6994005873120 is 213785004996.

6994005873120 is a `hidden beast` number, since 6 + 9 + 9 + 4 + 0 + 0 + 587 + 31 + 20 = 666.

It is a super-2 number, since 2×6994005873120² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 30810598447 + ... + 30810598673.

It is a 1-persistent number, because it is pandigital, but 2⋅6994005873120 = 13988011746240 is not.

Almost surely, 2^{6994005873120} is an apocalyptic number.

6994005873120 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 6994005873120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14874542065152).

6994005873120 is an abundant number, since it is smaller than the sum of its proper divisors (22755078257184).

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

6994005873120 is a wasteful number, since it uses less digits than its factorization.

6994005873120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 6994005873120 in words is "six trillion, nine hundred ninety-four billion, five million, eight hundred seventy-three thousand, one hundred twenty".