7273970820900 has 567 divisors, whose sum is σ = 27549082851969. Its totient is φ = 1661456784960.

The previous prime is 7273970820827. The next prime is 7273970820931. The reversal of 7273970820900 is 90280793727.

The square root of 7273970820900 is 2697030.

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., 2618629495524 + 4655341325376 = 1618218^2 + 2157624^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 5097385987 + ... + 5097387413.

Almost surely, 2^{7273970820900} is an apocalyptic number.

7273970820900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7273970820900 is the 2697030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7273970820900

7273970820900 is an abundant number, since it is smaller than the sum of its proper divisors (20275112031069).

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

7273970820900 is an equidigital number, since it uses as much as digits as its factorization.

7273970820900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 7273970820900 in words is "seven trillion, two hundred seventy-three billion, nine hundred seventy million, eight hundred twenty thousand, nine hundred".