67306305137764 has 405 divisors, whose sum is σ = 157033753669065. Its totient is φ = 25167375562560.

The previous prime is 67306305137759. The next prime is 67306305137767. The reversal of 67306305137764 is 46773150360376.

The square root of 67306305137764 is 8204042.

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

It can be written as a sum of positive squares in only one way, i.e., 35293793776164 + 32012511361600 = 5940858^2 + 5657960^2 .

It is a super-3 number, since 3×67306305137764³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 67306305137699 and 67306305137708.

It is not an unprimeable number, because it can be changed into a prime (67306305137767) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 403031767209 + ... + 403031767375.

Almost surely, 2^{67306305137764} is an apocalyptic number.

67306305137764 is the 8204042-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67306305137764

67306305137764 is an abundant number, since it is smaller than the sum of its proper divisors (89727448531301).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67306305137764 is an equidigital number, since it uses as much as digits as its factorization.

67306305137764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 58.

The spelling of 67306305137764 in words is "sixty-seven trillion, three hundred six billion, three hundred five million, one hundred thirty-seven thousand, seven hundred sixty-four".