724774400000000 has 576 divisors, whose sum is σ = 2071007338081200. Its totient is φ = 248463360000000.

The previous prime is 724774399999987. The next prime is 724774400000011. The reversal of 724774400000000 is 4477427.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a junction number, because it is equal to n+sod(n) for n = 724774399999897 and 724774399999906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 89599995956 + ... + 89600004044.

Almost surely, 2^{724774400000000} is an apocalyptic number.

724774400000000 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 724774400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035503669040600).

724774400000000 is an abundant number, since it is smaller than the sum of its proper divisors (1346232938081200).

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

724774400000000 is an frugal number, since it uses more digits than its factorization.

724774400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8166 (or 8103 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 35.

Adding to 724774400000000 its reverse (4477427), we get a palindrome (724774404477427).

The spelling of 724774400000000 in words is "seven hundred twenty-four trillion, seven hundred seventy-four billion, four hundred million", and thus it is an aban number.