7826144480 has 576 divisors, whose sum is σ = 25482885120. Its totient is φ = 2214051840.

The previous prime is 7826144467. The next prime is 7826144489. The reversal of 7826144480 is 844416287.

It is a super-2 number, since 2×7826144480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7826144489) 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, 99065081 + ... + 99065159.

It is an arithmetic number, because the mean of its divisors is an integer number (44241120).

Almost surely, 2^7826144480 is an apocalyptic number.

7826144480 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 7826144480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12741442560).

7826144480 is an abundant number, since it is smaller than the sum of its proper divisors (17656740640).

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

7826144480 is a wasteful number, since it uses less digits than its factorization.

7826144480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 44.

The square root of 7826144480 is about 88465.4988116836. The cubic root of 7826144480 is about 1985.4058037535.

The spelling of 7826144480 in words is "seven billion, eight hundred twenty-six million, one hundred forty-four thousand, four hundred eighty".