8724340742400 has 378 divisors, whose sum is σ = 32376366315090. Its totient is φ = 2326489620480.

The previous prime is 8724340742371. The next prime is 8724340742473. The reversal of 8724340742400 is 42470434278.

It can be written as a sum of positive squares in 3 ways, for example, as 1954269794304 + 6770070948096 = 1397952^2 + 2601936^2 .

It is a super-2 number, since 2×8724340742400² (a number of 27 digits) contains 22 as substring.

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 41 ways as a sum of consecutive naturals, for example, 3730636 + ... + 5600564.

Almost surely, 2^{8724340742400} is an apocalyptic number.

8724340742400 is a gapful number since it is divisible by the number (80) 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 8724340742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16188183157545).

8724340742400 is an abundant number, since it is smaller than the sum of its proper divisors (23652025572690).

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

8724340742400 is an equidigital number, since it uses as much as digits as its factorization.

8724340742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869973 (or 1869939 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 45.

The spelling of 8724340742400 in words is "eight trillion, seven hundred twenty-four billion, three hundred forty million, seven hundred forty-two thousand, four hundred".