7378638201 has 81 divisors (see below), whose sum is σ = 12454967343. Its totient is φ = 4205615040.

The previous prime is 7378638193. The next prime is 7378638203. The reversal of 7378638201 is 1028368737.

The square root of 7378638201 is 85899.

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

7378638201 is a `hidden beast` number, since 7 + 3 + 7 + 8 + 638 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4334247225 + 3044390976 = 65835^2 + 55176^2 .

It is not a de Polignac number, because 7378638201 - 2³ = 7378638193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7378638203) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 53858605 + ... + 53858741.

Almost surely, 2^7378638201 is an apocalyptic number.

7378638201 is the 85899-th square number.

7378638201 is the 42950-th centered octagonal number.

It is an amenable number.

7378638201 is a deficient number, since it is larger than the sum of its proper divisors (5076329142).

7378638201 is a wasteful number, since it uses less digits than its factorization.

7378638201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The cubic root of 7378638201 is about 1946.8182344918.

The spelling of 7378638201 in words is "seven billion, three hundred seventy-eight million, six hundred thirty-eight thousand, two hundred one".