6552959400 has 768 divisors, whose sum is σ = 27185760000. Its totient is φ = 1438248960.

The previous prime is 6552959389. The next prime is 6552959401. The reversal of 6552959400 is 49592556.

It is a happy number.

6552959400 is a `hidden beast` number, since 6 + 5 + 52 + 9 + 594 + 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 not an unprimeable number, because it can be changed into a prime (6552959401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 344892591 + ... + 344892609.

It is an arithmetic number, because the mean of its divisors is an integer number (35398125).

Almost surely, 2^6552959400 is an apocalyptic number.

6552959400 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 6552959400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13592880000).

6552959400 is an abundant number, since it is smaller than the sum of its proper divisors (20632800600).

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

6552959400 is a wasteful number, since it uses less digits than its factorization.

6552959400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 6552959400 is about 80950.3514507504. The cubic root of 6552959400 is about 1871.3103763235.

The spelling of 6552959400 in words is "six billion, five hundred fifty-two million, nine hundred fifty-nine thousand, four hundred".