8016292480 has 256 divisors, whose sum is σ = 22800476160. Its totient is φ = 2637250560.

The previous prime is 8016292477. The next prime is 8016292481. The reversal of 8016292480 is 842926108.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (8016292481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27359214 + ... + 27359506.

It is an arithmetic number, because the mean of its divisors is an integer number (89064360).

Almost surely, 2^8016292480 is an apocalyptic number.

8016292480 is a gapful number since it is divisible by the number (80) 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 8016292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11400238080).

8016292480 is an abundant number, since it is smaller than the sum of its proper divisors (14784183680).

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

8016292480 is a wasteful number, since it uses less digits than its factorization.

8016292480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 8016292480 is about 89533.7505078392. The cubic root of 8016292480 is about 2001.3567860244.

The spelling of 8016292480 in words is "eight billion, sixteen million, two hundred ninety-two thousand, four hundred eighty".