7452106272000 has 1152 divisors, whose sum is σ = 29987297034240. Its totient is φ = 1834140672000.

The previous prime is 7452106271971. The next prime is 7452106272011. The reversal of 7452106272000 is 2726012547.

It is a happy number.

7452106272000 is a `hidden beast` number, since 7 + 4 + 5 + 2 + 1 + 0 + 627 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×7452106272000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 909787905 + ... + 909796095.

Almost surely, 2^{7452106272000} 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 7452106272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14993648517120).

7452106272000 is an abundant number, since it is smaller than the sum of its proper divisors (22535190762240).

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

7452106272000 is an frugal number, since it uses more digits than its factorization.

7452106272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8256 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 7452106272000 in words is "seven trillion, four hundred fifty-two billion, one hundred six million, two hundred seventy-two thousand".