6999138558720 has 1296 divisors, whose sum is σ = 30851974573056. Its totient is φ = 1433740492800.

The previous prime is 6999138558719. The next prime is 6999138558757. The reversal of 6999138558720 is 278558319996.

6999138558720 is a `hidden beast` number, since 6 + 9 + 9 + 9 + 1 + 38 + 5 + 587 + 2 + 0 = 666.

It is a super-2 number, since 2×6999138558720² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 692773189 + ... + 692783291.

It is an arithmetic number, because the mean of its divisors is an integer number (23805535936).

Almost surely, 2^{6999138558720} is an apocalyptic number.

6999138558720 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 6999138558720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15425987286528).

6999138558720 is an abundant number, since it is smaller than the sum of its proper divisors (23852836014336).

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

6999138558720 is a wasteful number, since it uses less digits than its factorization.

6999138558720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10230 (or 10202 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 72.

The spelling of 6999138558720 in words is "six trillion, nine hundred ninety-nine billion, one hundred thirty-eight million, five hundred fifty-eight thousand, seven hundred twenty".