7473871020 has 288 divisors, whose sum is σ = 27013512960. Its totient is φ = 1526300160.

The previous prime is 7473870991. The next prime is 7473871021. The reversal of 7473871020 is 201783747.

It is a self number, because there is not a number n which added to its sum of digits gives 7473871020.

It is not an unprimeable number, because it can be changed into a prime (7473871021) 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 95 ways as a sum of consecutive naturals, for example, 1906102 + ... + 1910018.

It is an arithmetic number, because the mean of its divisors is an integer number (93796920).

Almost surely, 2^7473871020 is an apocalyptic number.

7473871020 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 7473871020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13506756480).

7473871020 is an abundant number, since it is smaller than the sum of its proper divisors (19539641940).

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

7473871020 is a wasteful number, since it uses less digits than its factorization.

7473871020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4013 (or 4004 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 7473871020 is about 86451.5530224877. The cubic root of 7473871020 is about 1955.1580312813.

The spelling of 7473871020 in words is "seven billion, four hundred seventy-three million, eight hundred seventy-one thousand, twenty".