6529478400 has 162 divisors, whose sum is σ = 23344564880. Its totient is φ = 1741178880.

The previous prime is 6529478377. The next prime is 6529478489. The reversal of 6529478400 is 48749256.

It is a happy number.

6529478400 is a `hidden beast` number, since 6 + 529 + 47 + 84 + 0 + 0 = 666.

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 17 ways as a sum of consecutive naturals, for example, 921 + ... + 114279.

Almost surely, 2^6529478400 is an apocalyptic number.

6529478400 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 6529478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11672282440).

6529478400 is an abundant number, since it is smaller than the sum of its proper divisors (16815086480).

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

6529478400 is a wasteful number, since it uses less digits than its factorization.

6529478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113391 (or 113369 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6529478400 is about 80805.1879522596. The cubic root of 6529478400 is about 1869.0725666976.

The spelling of 6529478400 in words is "six billion, five hundred twenty-nine million, four hundred seventy-eight thousand, four hundred".