69077707690000 has 225 divisors, whose sum is σ = 177696968054947. Its totient is φ = 26000406016000.

The previous prime is 69077707689989. The next prime is 69077707690009. The reversal of 69077707690000 is 9670777096.

The square root of 69077707690000 is 8311300.

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

It can be written as a sum of positive squares in 22 ways, for example, as 65879390358544 + 3198317331456 = 8116612^2 + 1788384^2 .

It is a super-2 number, since 2×69077707690000² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (69077707690009) 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, 14129207556 + ... + 14129212444.

Almost surely, 2^{69077707690000} is an apocalyptic number.

69077707690000 is the 8311300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69077707690000

69077707690000 is an abundant number, since it is smaller than the sum of its proper divisors (108619260364947).

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

69077707690000 is an frugal number, since it uses more digits than its factorization.

69077707690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9840 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 7001316, while the sum is 58.

The spelling of 69077707690000 in words is "sixty-nine trillion, seventy-seven billion, seven hundred seven million, six hundred ninety thousand".