6525434880 has 528 divisors, whose sum is σ = 24279450624. Its totient is φ = 1616609280.

The previous prime is 6525434863. The next prime is 6525434891. The reversal of 6525434880 is 884345256.

6525434880 is a `hidden beast` number, since 6 + 525 + 4 + 3 + 48 + 80 = 666.

It is a super-2 number, since 2×6525434880² = 85162600746241228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49812415 + ... + 49812545.

It is an arithmetic number, because the mean of its divisors is an integer number (45983808).

Almost surely, 2^6525434880 is an apocalyptic number.

6525434880 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 6525434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12139725312).

6525434880 is an abundant number, since it is smaller than the sum of its proper divisors (17754015744).

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

6525434880 is a wasteful number, since it uses less digits than its factorization.

6525434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 6525434880 is about 80780.1639017897. The cubic root of 6525434880 is about 1868.6866658923.

The spelling of 6525434880 in words is "six billion, five hundred twenty-five million, four hundred thirty-four thousand, eight hundred eighty".