6993468577440 has 432 divisors, whose sum is σ = 24946528763520. Its totient is φ = 1852532467200.

The previous prime is 6993468577423. The next prime is 6993468577471. The reversal of 6993468577440 is 447758643996.

It is a happy number.

6993468577440 is a `hidden beast` number, since 6 + 9 + 9 + 3 + 4 + 6 + 8 + 577 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 71 ways as a sum of consecutive naturals, for example, 158491701 + ... + 158535819.

It is an arithmetic number, because the mean of its divisors is an integer number (57746594360).

Almost surely, 2^{6993468577440} is an apocalyptic number.

6993468577440 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 6993468577440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12473264381760).

6993468577440 is an abundant number, since it is smaller than the sum of its proper divisors (17953060186080).

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

6993468577440 is an equidigital number, since it uses as much as digits as its factorization.

6993468577440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44309 (or 44280 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 6993468577440 in words is "six trillion, nine hundred ninety-three billion, four hundred sixty-eight million, five hundred seventy-seven thousand, four hundred forty".