7406309820 has 768 divisors, whose sum is σ = 28901376000. Its totient is φ = 1402168320.

The previous prime is 7406309819. The next prime is 7406309821. The reversal of 7406309820 is 289036047.

It is an interprime number because it is at equal distance from previous prime (7406309819) and next prime (7406309821).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7406309821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 157581037 + ... + 157581083.

It is an arithmetic number, because the mean of its divisors is an integer number (37632000).

Almost surely, 2^7406309820 is an apocalyptic number.

7406309820 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 7406309820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14450688000).

7406309820 is an abundant number, since it is smaller than the sum of its proper divisors (21495066180).

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

7406309820 is a wasteful number, since it uses less digits than its factorization.

7406309820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 7406309820 is about 86059.9199395398. The cubic root of 7406309820 is about 1949.2488731013.

The spelling of 7406309820 in words is "seven billion, four hundred six million, three hundred nine thousand, eight hundred twenty".