5677411627008 has 1872 divisors, whose sum is σ = 20556773153280. Its totient is φ = 1557913927680.

The previous prime is 5677411626973. The next prime is 5677411627021. The reversal of 5677411627008 is 8007261147765.

5677411627008 is a `hidden beast` number, since 5 + 6 + 7 + 7 + 4 + 1 + 1 + 627 + 0 + 0 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 96227315683 + ... + 96227315741.

It is an arithmetic number, because the mean of its divisors is an integer number (10981182240).

Almost surely, 2^{5677411627008} 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 5677411627008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10278386576640).

5677411627008 is an abundant number, since it is smaller than the sum of its proper divisors (14879361526272).

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

5677411627008 is a wasteful number, since it uses less digits than its factorization.

5677411627008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 5677411627008 in words is "five trillion, six hundred seventy-seven billion, four hundred eleven million, six hundred twenty-seven thousand, eight".