5377846656 has 256 divisors, whose sum is σ = 17851599360. Its totient is φ = 1396555776.

The previous prime is 5377846633. The next prime is 5377846679. The reversal of 5377846656 is 6566487735.

It is an interprime number because it is at equal distance from previous prime (5377846633) and next prime (5377846679).

It is a junction number, because it is equal to n+sod(n) for n = 5377846596 and 5377846605.

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, 2340100 + ... + 2342396.

It is an arithmetic number, because the mean of its divisors is an integer number (69732810).

Almost surely, 2^5377846656 is an apocalyptic number.

5377846656 is a gapful number since it is divisible by the number (56) 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 5377846656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8925799680).

5377846656 is an abundant number, since it is smaller than the sum of its proper divisors (12473752704).

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

5377846656 is a wasteful number, since it uses less digits than its factorization.

5377846656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2401 (or 2389 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 57.

The square root of 5377846656 is about 73333.8029560720. The cubic root of 5377846656 is about 1752.0082149695.

The spelling of 5377846656 in words is "five billion, three hundred seventy-seven million, eight hundred forty-six thousand, six hundred fifty-six".