6535496880 has 640 divisors, whose sum is σ = 26741145600. Its totient is φ = 1449446400.

The previous prime is 6535496837. The next prime is 6535496951. The reversal of 6535496880 is 886945356.

It is a happy number.

6535496880 is a `hidden beast` number, since 6 + 535 + 49 + 68 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13994407 + ... + 13994873.

It is an arithmetic number, because the mean of its divisors is an integer number (41783040).

Almost surely, 2^6535496880 is an apocalyptic number.

6535496880 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 6535496880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13370572800).

6535496880 is an abundant number, since it is smaller than the sum of its proper divisors (20205648720).

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

6535496880 is a wasteful number, since it uses less digits than its factorization.

6535496880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 6535496880 is about 80842.4200528411. The cubic root of 6535496880 is about 1869.6466565269.

The spelling of 6535496880 in words is "six billion, five hundred thirty-five million, four hundred ninety-six thousand, eight hundred eighty".