7973293320 has 320 divisors, whose sum is σ = 27427118400. Its totient is φ = 2077125120.

The previous prime is 7973293309. The next prime is 7973293327. The reversal of 7973293320 is 233923797.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (7973293327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37788015 + ... + 37788225.

It is an arithmetic number, because the mean of its divisors is an integer number (85709745).

Almost surely, 2^7973293320 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 7973293320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13713559200).

7973293320 is an abundant number, since it is smaller than the sum of its proper divisors (19453825080).

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

7973293320 is a wasteful number, since it uses less digits than its factorization.

7973293320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 45.

The square root of 7973293320 is about 89293.2994126659. The cubic root of 7973293320 is about 1997.7719621788.

The spelling of 7973293320 in words is "seven billion, nine hundred seventy-three million, two hundred ninety-three thousand, three hundred twenty".