8054648933760 has 2560 divisors, whose sum is σ = 35324835840000. Its totient is φ = 1722216038400.

The previous prime is 8054648933759. The next prime is 8054648933777. The reversal of 8054648933760 is 673398464508.

8054648933760 is a `hidden beast` number, since 8 + 0 + 5 + 464 + 89 + 3 + 37 + 60 = 666.

It is a super-2 number, since 2×8054648933760² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 101957581401 + ... + 101957581479.

It is an arithmetic number, because the mean of its divisors is an integer number (13798764000).

Almost surely, 2^{8054648933760} is an apocalyptic number.

8054648933760 is a gapful number since it is divisible by the number (80) 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 8054648933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17662417920000).

8054648933760 is an abundant number, since it is smaller than the sum of its proper divisors (27270186906240).

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

8054648933760 is a wasteful number, since it uses less digits than its factorization.

8054648933760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 8054648933760 in words is "eight trillion, fifty-four billion, six hundred forty-eight million, nine hundred thirty-three thousand, seven hundred sixty".