6993575424 has 480 divisors, whose sum is σ = 23576303520. Its totient is φ = 2043740160.

The previous prime is 6993575371. The next prime is 6993575437. The reversal of 6993575424 is 4245753996.

6993575424 is a `hidden beast` number, since 6 + 9 + 93 + 5 + 7 + 542 + 4 = 666.

It is a super-2 number, since 2×6993575424² = 97820194422353559552, which 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 47 ways as a sum of consecutive naturals, for example, 61889992 + ... + 61890104.

It is an arithmetic number, because the mean of its divisors is an integer number (49117299).

Almost surely, 2^6993575424 is an apocalyptic number.

6993575424 is a gapful number since it is divisible by the number (64) 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 6993575424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11788151760).

6993575424 is an abundant number, since it is smaller than the sum of its proper divisors (16582728096).

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

6993575424 is a wasteful number, since it uses less digits than its factorization.

6993575424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 166 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The square root of 6993575424 is about 83627.5996546595. The cubic root of 6993575424 is about 1912.3457764142.

The spelling of 6993575424 in words is "six billion, nine hundred ninety-three million, five hundred seventy-five thousand, four hundred twenty-four".