7149820807272 has 128 divisors (see below), whose sum is σ = 21109420523520. Its totient is φ = 1989478752000.

The previous prime is 7149820807223. The next prime is 7149820807273. The reversal of 7149820807272 is 2727080289417.

7149820807272 is digitally balanced in base 12, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7149820807272² (a number of 27 digits) contains 22 as substring.

7149820807272 is strictly pandigital in base 12.

It is not an unprimeable number, because it can be changed into a prime (7149820807273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4798104 + ... + 6109127.

It is an arithmetic number, because the mean of its divisors is an integer number (164917347840).

Almost surely, 2^{7149820807272} is an apocalyptic number.

It is an amenable number.

7149820807272 is an abundant number, since it is smaller than the sum of its proper divisors (13959599716248).

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

7149820807272 is a wasteful number, since it uses less digits than its factorization.

7149820807272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10907455 (or 10907451 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 57.

The spelling of 7149820807272 in words is "seven trillion, one hundred forty-nine billion, eight hundred twenty million, eight hundred seven thousand, two hundred seventy-two".