8235348480 has 120 divisors (see below), whose sum is σ = 28521407772. Its totient is φ = 2196086784.

The previous prime is 8235348461. The next prime is 8235348487. The reversal of 8235348480 is 848435328.

8235348480 is a `hidden beast` number, since 82 + 3 + 53 + 48 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7064066304 + 1171282176 = 84048^2 + 34224^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (8235348487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155679 + ... + 201758.

Almost surely, 2^8235348480 is an apocalyptic number.

8235348480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8235348480 is an abundant number, since it is smaller than the sum of its proper divisors (20286059292).

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

8235348480 is a wasteful number, since it uses less digits than its factorization.

8235348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357466 (or 357447 counting only the distinct ones).

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

The square root of 8235348480 is about 90748.8208187853. The cubic root of 8235348480 is about 2019.4231336451.

The spelling of 8235348480 in words is "eight billion, two hundred thirty-five million, three hundred forty-eight thousand, four hundred eighty".