7441562496 has 128 divisors (see below), whose sum is σ = 20848636800. Its totient is φ = 2345269248.

The previous prime is 7441562377. The next prime is 7441562497. The reversal of 7441562496 is 6942651447.

It is a happy number.

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

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7441562497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6398011 + ... + 6399173.

It is an arithmetic number, because the mean of its divisors is an integer number (162879975).

Almost surely, 2^7441562496 is an apocalyptic number.

7441562496 is a gapful number since it is divisible by the number (76) 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 7441562496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10424318400).

7441562496 is an abundant number, since it is smaller than the sum of its proper divisors (13407074304).

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

7441562496 is a wasteful number, since it uses less digits than its factorization.

7441562496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2064 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 7441562496 is about 86264.4915130206. The cubic root of 7441562496 is about 1952.3366681688.

The spelling of 7441562496 in words is "seven billion, four hundred forty-one million, five hundred sixty-two thousand, four hundred ninety-six".