7162742268900 has 405 divisors, whose sum is σ = 23500902512857. Its totient is φ = 1887133809600.

The previous prime is 7162742268797. The next prime is 7162742268911. The reversal of 7162742268900 is 98622472617.

The square root of 7162742268900 is 2676330.

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

7162742268900 is a `hidden beast` number, since 7 + 1 + 627 + 4 + 2 + 2 + 6 + 8 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2578587216804 + 4584155052096 = 1605798^2 + 2141064^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 31553930587 + ... + 31553930813.

Almost surely, 2^{7162742268900} is an apocalyptic number.

7162742268900 is the 2676330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7162742268900

7162742268900 is an abundant number, since it is smaller than the sum of its proper divisors (16338160243957).

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

7162742268900 is a wasteful number, since it uses less digits than its factorization.

7162742268900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 7162742268900 in words is "seven trillion, one hundred sixty-two billion, seven hundred forty-two million, two hundred sixty-eight thousand, nine hundred".