7973464576 has 160 divisors (see below), whose sum is σ = 21032618112. Its totient is φ = 2923560960.

The previous prime is 7973464573. The next prime is 7973464633. The reversal of 7973464576 is 6754643797.

It is a super-2 number, since 2×7973464576² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7973464576.

It is not an unprimeable number, because it can be changed into a prime (7973464573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664260 + ... + 676156.

Almost surely, 2^7973464576 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 7973464576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10516309056).

7973464576 is an abundant number, since it is smaller than the sum of its proper divisors (13059153536).

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

7973464576 is a wasteful number, since it uses less digits than its factorization.

7973464576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11950 (or 11934 counting only the distinct ones).

The product of its digits is 26671680, while the sum is 58.

The square root of 7973464576 is about 89294.2583596504. The cubic root of 7973464576 is about 1997.7862652600.

The spelling of 7973464576 in words is "seven billion, nine hundred seventy-three million, four hundred sixty-four thousand, five hundred seventy-six".