7973442000 has 480 divisors, whose sum is σ = 29983509504. Its totient is φ = 1967616000.

The previous prime is 7973441989. The next prime is 7973442007. The reversal of 7973442000 is 2443797.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7973442007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21725817 + ... + 21726183.

Almost surely, 2^7973442000 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 7973442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14991754752).

7973442000 is an abundant number, since it is smaller than the sum of its proper divisors (22010067504).

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

7973442000 is a wasteful number, since it uses less digits than its factorization.

7973442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 7973442000 is about 89294.1319460579. The cubic root of 7973442000 is about 1997.7843797532.

Adding to 7973442000 its reverse (2443797), we get a palindrome (7975885797).

The spelling of 7973442000 in words is "seven billion, nine hundred seventy-three million, four hundred forty-two thousand".