6553400640 has 224 divisors, whose sum is σ = 21463674624. Its totient is φ = 1693040640.

The previous prime is 6553400627. The next prime is 6553400641. The reversal of 6553400640 is 460043556.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6553400641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6572622 + ... + 6573618.

It is an arithmetic number, because the mean of its divisors is an integer number (95819976).

Almost surely, 2^6553400640 is an apocalyptic number.

6553400640 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 6553400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10731837312).

6553400640 is an abundant number, since it is smaller than the sum of its proper divisors (14910273984).

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

6553400640 is a wasteful number, since it uses less digits than its factorization.

6553400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 6553400640 is about 80953.0767790823. The cubic root of 6553400640 is about 1871.3523766070.

The spelling of 6553400640 in words is "six billion, five hundred fifty-three million, four hundred thousand, six hundred forty".