8335824480 has 96 divisors (see below), whose sum is σ = 29175400800. Its totient is φ = 2222885376.

The previous prime is 8335824463. The next prime is 8335824481. The reversal of 8335824480 is 844285338.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×8335824480² (a number of 21 digits) contains 22 as substring.

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 (8335824481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 960475 + ... + 969114.

It is an arithmetic number, because the mean of its divisors is an integer number (303910425).

Almost surely, 2^8335824480 is an apocalyptic number.

8335824480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8335824480 is an abundant number, since it is smaller than the sum of its proper divisors (20839576320).

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

8335824480 is a wasteful number, since it uses less digits than its factorization.

8335824480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929613 (or 1929599 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 8335824480 is about 91300.7364701950. The cubic root of 8335824480 is about 2027.6026671602.

The spelling of 8335824480 in words is "eight billion, three hundred thirty-five million, eight hundred twenty-four thousand, four hundred eighty".