73630279801 has 9 divisors (see below), whose sum is σ = 79733649549. Its totient is φ = 67963155936.

The previous prime is 73630279763. The next prime is 73630279813. The reversal of 73630279801 is 10897203637.

It is a happy number.

The square root of 73630279801 is 271349.

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

It can be written as a sum of positive squares in 4 ways, for example, as 21418029801 + 52212250000 = 146349^2 + 228500^2 .

It is not a de Polignac number, because 73630279801 - 2²⁵ = 73596725369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73630279601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3517101 + ... + 3537973.

Almost surely, 2^73630279801 is an apocalyptic number.

73630279801 is the 271349-th square number.

73630279801 is the 135675-th centered octagonal number.

It is an amenable number.

73630279801 is a deficient number, since it is larger than the sum of its proper divisors (6103369748).

73630279801 is an frugal number, since it uses more digits than its factorization.

73630279801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41772 (or 20886 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The spelling of 73630279801 in words is "seventy-three billion, six hundred thirty million, two hundred seventy-nine thousand, eight hundred one".