7137441664080 has 640 divisors, whose sum is σ = 28128119685120. Its totient is φ = 1456432496640.

The previous prime is 7137441664043. The next prime is 7137441664183. The reversal of 7137441664080 is 804661447317.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1847640229 + ... + 1847644091.

It is an arithmetic number, because the mean of its divisors is an integer number (43950187008).

Almost surely, 2^{7137441664080} is an apocalyptic number.

7137441664080 is a gapful number since it is divisible by the number (70) 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 7137441664080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14064059842560).

7137441664080 is an abundant number, since it is smaller than the sum of its proper divisors (20990678021040).

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

7137441664080 is a wasteful number, since it uses less digits than its factorization.

7137441664080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6659 (or 6653 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 7137441664080 in words is "seven trillion, one hundred thirty-seven billion, four hundred forty-one million, six hundred sixty-four thousand, eighty".