6924371216400 has 945 divisors, whose sum is σ = 27477935193037. Its totient is φ = 1674846201600.

The previous prime is 6924371216383. The next prime is 6924371216417. The reversal of 6924371216400 is 46121734296.

The square root of 6924371216400 is 2631420.

It is a perfect power (a square), and thus also a powerful number.

6924371216400 is a `hidden beast` number, since 6 + 9 + 24 + 3 + 7 + 1 + 216 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (6924371216383) and next prime (6924371216417).

It can be written as a sum of positive squares in only one way, i.e., 2492773637904 + 4431597578496 = 1578852^2 + 2105136^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 15630634579 + ... + 15630635021.

Almost surely, 2^{6924371216400} is an apocalyptic number.

6924371216400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6924371216400 is the 2631420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6924371216400

6924371216400 is an abundant number, since it is smaller than the sum of its proper divisors (20553563976637).

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

6924371216400 is an equidigital number, since it uses as much as digits as its factorization.

6924371216400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 6924371216400 in words is "six trillion, nine hundred twenty-four billion, three hundred seventy-one million, two hundred sixteen thousand, four hundred".