7973973504 has 320 divisors, whose sum is σ = 28401753600. Its totient is φ = 2157871104.

The previous prime is 7973973503. The next prime is 7973973551. The reversal of 7973973504 is 4053793797.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7973973503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1836424 + ... + 1840760.

It is an arithmetic number, because the mean of its divisors is an integer number (88755480).

Almost surely, 2^7973973504 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 7973973504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14200876800).

7973973504 is an abundant number, since it is smaller than the sum of its proper divisors (20427780096).

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

7973973504 is a wasteful number, since it uses less digits than its factorization.

7973973504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4390 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 5000940, while the sum is 54.

The square root of 7973973504 is about 89297.1080382786. The cubic root of 7973973504 is about 1997.8287690644.

The spelling of 7973973504 in words is "seven billion, nine hundred seventy-three million, nine hundred seventy-three thousand, five hundred four".