7481701972900 has 27 divisors (see below), whose sum is σ = 16235352636769. Its totient is φ = 2992669848080.

The previous prime is 7481701972859. The next prime is 7481701972903. The reversal of 7481701972900 is 92791071847.

The square root of 7481701972900 is 2735270.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2693412710244 + 4788289262656 = 1641162^2 + 2188216^2 .

It is a super-2 number, since 2×7481701972900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7481701972903) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27215937 + ... + 27489463.

Almost surely, 2^{7481701972900} is an apocalyptic number.

7481701972900 is the 2735270-th square number.

It is an amenable number.

7481701972900 is an abundant number, since it is smaller than the sum of its proper divisors (8753650663869).

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

7481701972900 is an frugal number, since it uses more digits than its factorization.

7481701972900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547068 (or 273534 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 55.

The spelling of 7481701972900 in words is "seven trillion, four hundred eighty-one billion, seven hundred one million, nine hundred seventy-two thousand, nine hundred".