7787163721401 has 45 divisors (see below), whose sum is σ = 12277898660181. Its totient is φ = 4917907286856.

The previous prime is 7787163721343. The next prime is 7787163721427. The reversal of 7787163721401 is 1041273617877.

The square root of 7787163721401 is 2790549.

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

7787163721401 is a `hidden beast` number, since 7 + 7 + 8 + 7 + 163 + 72 + 1 + 401 = 666.

It is not a de Polignac number, because 7787163721401 - 2⁷ = 7787163721273 is a prime.

It is a super-2 number, since 2×7787163721401² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7787163723401) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 477175720 + ... + 477192038.

Almost surely, 2^{7787163721401} is an apocalyptic number.

7787163721401 is the 2790549-th square number.

7787163721401 is the 1395275-th centered octagonal number.

It is an amenable number.

7787163721401 is a deficient number, since it is larger than the sum of its proper divisors (4490734938780).

7787163721401 is an frugal number, since it uses more digits than its factorization.

7787163721401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32688 (or 16341 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 54.

The spelling of 7787163721401 in words is "seven trillion, seven hundred eighty-seven billion, one hundred sixty-three million, seven hundred twenty-one thousand, four hundred one".