67150764426249 has 81 divisors (see below), whose sum is σ = 114729512006421. Its totient is φ = 37736918331840.

The previous prime is 67150764426247. The next prime is 67150764426259. The reversal of 67150764426249 is 94262446705176.

The square root of 67150764426249 is 8194557.

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

67150764426249 is a `hidden beast` number, since 6 + 7 + 1 + 507 + 64 + 4 + 2 + 62 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62381642222025 + 4769122204224 = 7898205^2 + 2183832^2 .

It is not a de Polignac number, because 67150764426249 - 2¹ = 67150764426247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (67150764426247) 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, 10497224319 + ... + 10497230715.

Almost surely, 2^{67150764426249} is an apocalyptic number.

67150764426249 is the 8194557-th square number.

67150764426249 is the 4097279-th centered octagonal number.

It is an amenable number.

67150764426249 is a deficient number, since it is larger than the sum of its proper divisors (47578747580172).

67150764426249 is an frugal number, since it uses more digits than its factorization.

67150764426249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12936 (or 6468 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 67150764426249 in words is "sixty-seven trillion, one hundred fifty billion, seven hundred sixty-four million, four hundred twenty-six thousand, two hundred forty-nine".