6724634126400 has 840 divisors, whose sum is σ = 26230613365440. Its totient is φ = 1686152540160.

The previous prime is 6724634126369. The next prime is 6724634126429. The reversal of 6724634126400 is 46214364276.

6724634126400 is a `hidden beast` number, since 6 + 7 + 2 + 4 + 634 + 1 + 2 + 6 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 175848082 + ... + 175886318.

Almost surely, 2^{6724634126400} is an apocalyptic number.

6724634126400 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 6724634126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13115306682720).

6724634126400 is an abundant number, since it is smaller than the sum of its proper divisors (19505979239040).

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

6724634126400 is a wasteful number, since it uses less digits than its factorization.

6724634126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38353 (or 38329 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

It can be divided in two parts, 6724 and 634126400, that added together give a square (634133124 = 25182²).

The spelling of 6724634126400 in words is "six trillion, seven hundred twenty-four billion, six hundred thirty-four million, one hundred twenty-six thousand, four hundred".