8278016040 has 384 divisors, whose sum is σ = 33013992960. Its totient is φ = 1755758592.

The previous prime is 8278016029. The next prime is 8278016051. The reversal of 8278016040 is 406108728.

It is an interprime number because it is at equal distance from previous prime (8278016029) and next prime (8278016051).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8278015986 and 8278016004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3125997 + ... + 3128643.

It is an arithmetic number, because the mean of its divisors is an integer number (85973940).

Almost surely, 2^8278016040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8278016040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16506996480).

8278016040 is an abundant number, since it is smaller than the sum of its proper divisors (24735976920).

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

8278016040 is a wasteful number, since it uses less digits than its factorization.

8278016040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8278016040 is about 90983.6031381479. The cubic root of 8278016040 is about 2022.9046895672.

The spelling of 8278016040 in words is "eight billion, two hundred seventy-eight million, sixteen thousand, forty".