7172626401 has 24 divisors (see below), whose sum is σ = 10542748320. Its totient is φ = 4697721600.

The previous prime is 7172626399. The next prime is 7172626411. The reversal of 7172626401 is 1046262717.

7172626401 is a `hidden beast` number, since 7 + 1 + 7 + 2 + 6 + 2 + 640 + 1 = 666.

It is not a de Polignac number, because 7172626401 - 2¹ = 7172626399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7172626411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1101766 + ... + 1108256.

It is an arithmetic number, because the mean of its divisors is an integer number (439281180).

Almost surely, 2^7172626401 is an apocalyptic number.

It is an amenable number.

7172626401 is a deficient number, since it is larger than the sum of its proper divisors (3370121919).

7172626401 is a wasteful number, since it uses less digits than its factorization.

7172626401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8637 (or 8634 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7172626401 is about 84691.3596596489. The cubic root of 7172626401 is about 1928.5285392625.

The spelling of 7172626401 in words is "seven billion, one hundred seventy-two million, six hundred twenty-six thousand, four hundred one".