6551754240 has 320 divisors, whose sum is σ = 22627123200. Its totient is φ = 1612283904.

The previous prime is 6551754229. The next prime is 6551754257. The reversal of 6551754240 is 424571556.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5121921 + ... + 5123199.

It is an arithmetic number, because the mean of its divisors is an integer number (70709760).

Almost surely, 2^6551754240 is an apocalyptic number.

6551754240 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 6551754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11313561600).

6551754240 is an abundant number, since it is smaller than the sum of its proper divisors (16075368960).

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

6551754240 is a wasteful number, since it uses less digits than its factorization.

6551754240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 39.

The square root of 6551754240 is about 80942.9072865560. The cubic root of 6551754240 is about 1871.1956512279.

The spelling of 6551754240 in words is "six billion, five hundred fifty-one million, seven hundred fifty-four thousand, two hundred forty".