30777376640 has 128 divisors (see below), whose sum is σ = 78014210400. Its totient is φ = 11570577408.

The previous prime is 30777376573. The next prime is 30777376649. The reversal of 30777376640 is 4667377703.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30777376649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10193051 + ... + 10196069.

Almost surely, 2^30777376640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30777376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39007105200).

30777376640 is an abundant number, since it is smaller than the sum of its proper divisors (47236833760).

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

30777376640 is a wasteful number, since it uses less digits than its factorization.

30777376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3992 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 50.

The spelling of 30777376640 in words is "thirty billion, seven hundred seventy-seven million, three hundred seventy-six thousand, six hundred forty".