6999488496000 has 3072 divisors, whose sum is σ = 34473793536000. Its totient is φ = 1341204480000.

The previous prime is 6999488495957. The next prime is 6999488496041. The reversal of 6999488496000 is 6948849996.

It is a happy number.

6999488496000 is a `hidden beast` number, since 6 + 9 + 9 + 9 + 4 + 8 + 8 + 4 + 9 + 600 + 0 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6999488496000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7063055505 + ... + 7063056495.

It is an arithmetic number, because the mean of its divisors is an integer number (11221938000).

Almost surely, 2^{6999488496000} is an apocalyptic number.

6999488496000 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 6999488496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236896768000).

6999488496000 is an abundant number, since it is smaller than the sum of its proper divisors (27474305040000).

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

6999488496000 is a wasteful number, since it uses less digits than its factorization.

6999488496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 6999488496000 in words is "six trillion, nine hundred ninety-nine billion, four hundred eighty-eight million, four hundred ninety-six thousand".