30770036640 has 288 divisors, whose sum is σ = 125221614336. Its totient is φ = 6727311360.

The previous prime is 30770036611. The next prime is 30770036683. The reversal of 30770036640 is 4663007703.

30770036640 is a `hidden beast` number, since 3 + 0 + 7 + 7 + 0 + 0 + 3 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30770036595 and 30770036604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165480 + ... + 298200.

It is an arithmetic number, because the mean of its divisors is an integer number (434797272).

Almost surely, 2^30770036640 is an apocalyptic number.

30770036640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30770036640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62610807168).

30770036640 is an abundant number, since it is smaller than the sum of its proper divisors (94451577696).

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

30770036640 is a wasteful number, since it uses less digits than its factorization.

30770036640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132772 (or 132761 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 30770036640 in words is "thirty billion, seven hundred seventy million, thirty-six thousand, six hundred forty".