7480156881800 has 288 divisors, whose sum is σ = 18354444269400. Its totient is φ = 2831467806720.

The previous prime is 7480156881779. The next prime is 7480156881851. The reversal of 7480156881800 is 81886510847.

It can be written as a sum of positive squares in 36 ways, for example, as 6449984661124 + 1030172220676 = 2539682^2 + 1014974^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6166657994 + ... + 6166659206.

Almost surely, 2^{7480156881800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7480156881800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9177222134700).

7480156881800 is an abundant number, since it is smaller than the sum of its proper divisors (10874287387600).

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

7480156881800 is a wasteful number, since it uses less digits than its factorization.

7480156881800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 56.

The spelling of 7480156881800 in words is "seven trillion, four hundred eighty billion, one hundred fifty-six million, eight hundred eighty-one thousand, eight hundred".