6997574400 has 216 divisors, whose sum is σ = 23193505104. Its totient is φ = 1857945600.

The previous prime is 6997574393. The next prime is 6997574407. The reversal of 6997574400 is 44757996.

It is an interprime number because it is at equal distance from previous prime (6997574393) and next prime (6997574407).

It is not an unprimeable number, because it can be changed into a prime (6997574407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5394552 + ... + 5395848.

Almost surely, 2^6997574400 is an apocalyptic number.

6997574400 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 6997574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11596752552).

6997574400 is an abundant number, since it is smaller than the sum of its proper divisors (16195930704).

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

6997574400 is a wasteful number, since it uses less digits than its factorization.

6997574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The square root of 6997574400 is about 83651.5056648713. The cubic root of 6997574400 is about 1912.7102045856.

The spelling of 6997574400 in words is "six billion, nine hundred ninety-seven million, five hundred seventy-four thousand, four hundred".