6547478400 has 192 divisors, whose sum is σ = 23962268400. Its totient is φ = 1745971200.

The previous prime is 6547478383. The next prime is 6547478401. The reversal of 6547478400 is 48747456.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6547478401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48510 + ... + 124290.

Almost surely, 2^6547478400 is an apocalyptic number.

6547478400 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 6547478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11981134200).

6547478400 is an abundant number, since it is smaller than the sum of its proper divisors (17414790000).

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

6547478400 is a wasteful number, since it uses less digits than its factorization.

6547478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75814 (or 75791 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 6547478400 is about 80916.4902847374. The cubic root of 6547478400 is about 1870.7884994897.

The spelling of 6547478400 in words is "six billion, five hundred forty-seven million, four hundred seventy-eight thousand, four hundred".