7364410000000 has 128 divisors (see below), whose sum is σ = 18339084887760. Its totient is φ = 2945760000000.

The previous prime is 7364409999971. The next prime is 7364410000021. The reversal of 7364410000000 is 144637.

It can be written as a sum of positive squares in 8 ways, for example, as 6918709558336 + 445700441664 = 2630344^2 + 667608^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 7364410000000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9631780 + ... + 10368220.

Almost surely, 2^{7364410000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7364410000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9169542443880).

7364410000000 is an abundant number, since it is smaller than the sum of its proper divisors (10974674887760).

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

7364410000000 is an frugal number, since it uses more digits than its factorization.

7364410000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736490 (or 736448 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

Adding to 7364410000000 its reverse (144637), we get a palindrome (7364410144637).

The spelling of 7364410000000 in words is "seven trillion, three hundred sixty-four billion, four hundred ten million", and thus it is an aban number.