7713824126400 has 1008 divisors, whose sum is σ = 31683413798400. Its totient is φ = 1743572459520.

The previous prime is 7713824126389. The next prime is 7713824126431. The reversal of 7713824126400 is 46214283177.

7713824126400 is a `hidden beast` number, since 7 + 7 + 1 + 382 + 4 + 1 + 264 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4105280661 + ... + 4105282539.

Almost surely, 2^{7713824126400} is an apocalyptic number.

7713824126400 is a gapful number since it is divisible by the number (70) 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 7713824126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15841706899200).

7713824126400 is an abundant number, since it is smaller than the sum of its proper divisors (23969589672000).

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

7713824126400 is a wasteful number, since it uses less digits than its factorization.

7713824126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 7713824126400 in words is "seven trillion, seven hundred thirteen billion, eight hundred twenty-four million, one hundred twenty-six thousand, four hundred".