67622635125 has 36 divisors (see below), whose sum is σ = 121916795364. Its totient is φ = 36060753600.

The previous prime is 67622635081. The next prime is 67622635169. The reversal of 67622635125 is 52153622676.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

67622635125 is a `hidden beast` number, since 6 + 7 + 6 + 2 + 2 + 635 + 1 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (67622635081) and next prime (67622635169).

It can be written as a sum of positive squares in 6 ways, for example, as 840188196 + 66782446929 = 28986^2 + 258423^2 .

It is not a de Polignac number, because 67622635125 - 2⁶ = 67622635061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8718249 + ... + 8726001.

It is an arithmetic number, because the mean of its divisors is an integer number (3386577649).

Almost surely, 2^67622635125 is an apocalyptic number.

It is an amenable number.

67622635125 is a deficient number, since it is larger than the sum of its proper divisors (54294160239).

67622635125 is an frugal number, since it uses more digits than its factorization.

67622635125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15527 (or 7761 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

Multiplying 67622635125 by its sum of digits (45), we get a square (3043018580625 = 1744425²).

67622635125 divided by its sum of digits (45) gives a square (1502725225 = 38765²).

The spelling of 67622635125 in words is "sixty-seven billion, six hundred twenty-two million, six hundred thirty-five thousand, one hundred twenty-five".