5674876416 has 320 divisors, whose sum is σ = 18632021760. Its totient is φ = 1690951680.

The previous prime is 5674876393. The next prime is 5674876429. The reversal of 5674876416 is 6146784765.

5674876416 is a `hidden beast` number, since 567 + 4 + 8 + 7 + 64 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (6773760) is a multiple of the sum of its prime divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10188010 + ... + 10188566.

It is an arithmetic number, because the mean of its divisors is an integer number (58225068).

Almost surely, 2^5674876416 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 5674876416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9316010880).

5674876416 is an abundant number, since it is smaller than the sum of its proper divisors (12957145344).

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

5674876416 is a wasteful number, since it uses less digits than its factorization.

5674876416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 640 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 5674876416 is about 75331.7756063137. The cubic root of 5674876416 is about 1783.6876392799.

The spelling of 5674876416 in words is "five billion, six hundred seventy-four million, eight hundred seventy-six thousand, four hundred sixteen".