7545073771872 has 2304 divisors, whose sum is σ = 30521442631680. Its totient is φ = 1777705574400.

The previous prime is 7545073771847. The next prime is 7545073771909. The reversal of 7545073771872 is 2781773705457.

7545073771872 is a `hidden beast` number, since 7 + 5 + 450 + 7 + 37 + 71 + 87 + 2 = 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 383 ways as a sum of consecutive naturals, for example, 17921790222 + ... + 17921790642.

It is an arithmetic number, because the mean of its divisors is an integer number (13247153920).

Almost surely, 2^{7545073771872} is an apocalyptic number.

7545073771872 is a gapful number since it is divisible by the number (72) 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 7545073771872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15260721315840).

7545073771872 is an abundant number, since it is smaller than the sum of its proper divisors (22976368859808).

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

7545073771872 is a wasteful number, since it uses less digits than its factorization.

7545073771872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 80673600, while the sum is 63.

The spelling of 7545073771872 in words is "seven trillion, five hundred forty-five billion, seventy-three million, seven hundred seventy-one thousand, eight hundred seventy-two".