8413756416 has 528 divisors, whose sum is σ = 28857459680. Its totient is φ = 2436562944.

The previous prime is 8413756409. The next prime is 8413756423. The reversal of 8413756416 is 6146573148.

8413756416 is a `hidden beast` number, since 8 + 41 + 37 + 564 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (8413756409) and next prime (8413756423).

Its product of digits (483840) is a multiple of the sum of its prime divisors (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 494926840 + ... + 494926856.

Almost surely, 2^8413756416 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 8413756416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14428729840).

8413756416 is an abundant number, since it is smaller than the sum of its proper divisors (20443703264).

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

8413756416 is an equidigital number, since it uses as much as digits as its factorization.

8413756416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 35 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 8413756416 is about 91726.5306004757. The cubic root of 8413756416 is about 2033.9017886639.

The spelling of 8413756416 in words is "eight billion, four hundred thirteen million, seven hundred fifty-six thousand, four hundred sixteen".