6737875091640 has 512 divisors, whose sum is σ = 28007833190400. Its totient is φ = 1399764257280.

The previous prime is 6737875091611. The next prime is 6737875091723. The reversal of 6737875091640 is 461905787376.

6737875091640 is a `hidden beast` number, since 6 + 7 + 3 + 7 + 87 + 509 + 1 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 657540997 + ... + 657551243.

It is an arithmetic number, because the mean of its divisors is an integer number (54702799200).

Almost surely, 2^{6737875091640} is an apocalyptic number.

6737875091640 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 6737875091640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14003916595200).

6737875091640 is an abundant number, since it is smaller than the sum of its proper divisors (21269958098760).

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

6737875091640 is a wasteful number, since it uses less digits than its factorization.

6737875091640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18192 (or 18182 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 6737875091640 in words is "six trillion, seven hundred thirty-seven billion, eight hundred seventy-five million, ninety-one thousand, six hundred forty".