7873044480 has 672 divisors, whose sum is σ = 32631790464. Its totient is φ = 1783627776.

The previous prime is 7873044469. The next prime is 7873044481. The reversal of 7873044480 is 844403787.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7873044481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69672904 + ... + 69673016.

It is an arithmetic number, because the mean of its divisors is an integer number (48559212).

Almost surely, 2^7873044480 is an apocalyptic number.

7873044480 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 7873044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16315895232).

7873044480 is an abundant number, since it is smaller than the sum of its proper divisors (24758745984).

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

7873044480 is an equidigital number, since it uses as much as digits as its factorization.

7873044480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 7873044480 is about 88730.1779554172. The cubic root of 7873044480 is about 1989.3639104009.

The spelling of 7873044480 in words is "seven billion, eight hundred seventy-three million, forty-four thousand, four hundred eighty".