6533977020480 has 2016 divisors, whose sum is σ = 29777687057664. Its totient is φ = 1283022913536.

The previous prime is 6533977020479. The next prime is 6533977020491. The reversal of 6533977020480 is 840207793356.

6533977020480 is a `hidden beast` number, since 6 + 5 + 3 + 3 + 97 + 70 + 2 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5618208379 + ... + 5618209541.

It is an arithmetic number, because the mean of its divisors is an integer number (14770678104).

Almost surely, 2^{6533977020480} is an apocalyptic number.

6533977020480 is a gapful number since it is divisible by the number (60) 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 6533977020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14888843528832).

6533977020480 is an abundant number, since it is smaller than the sum of its proper divisors (23243710037184).

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

6533977020480 is a wasteful number, since it uses less digits than its factorization.

6533977020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 6533977020480 in words is "six trillion, five hundred thirty-three billion, nine hundred seventy-seven million, twenty thousand, four hundred eighty".