7445348820 has 384 divisors, whose sum is σ = 28805038080. Its totient is φ = 1554577920.

The previous prime is 7445348783. The next prime is 7445348861. The reversal of 7445348820 is 288435447.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 5060685 + ... + 5062155.

It is an arithmetic number, because the mean of its divisors is an integer number (75013120).

Almost surely, 2^7445348820 is an apocalyptic number.

7445348820 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 7445348820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14402519040).

7445348820 is an abundant number, since it is smaller than the sum of its proper divisors (21359689260).

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

7445348820 is a wasteful number, since it uses less digits than its factorization.

7445348820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The square root of 7445348820 is about 86286.4347391871. The cubic root of 7445348820 is about 1952.6677333095.

The spelling of 7445348820 in words is "seven billion, four hundred forty-five million, three hundred forty-eight thousand, eight hundred twenty".