30667606640 has 160 divisors (see below), whose sum is σ = 82109030400. Its totient is φ = 10535132160.

The previous prime is 30667606631. The next prime is 30667606657. The reversal of 30667606640 is 4660676603.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 30667606591 and 30667606600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6401366 + ... + 6406154.

It is an arithmetic number, because the mean of its divisors is an integer number (513181440).

Almost surely, 2^30667606640 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 30667606640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41054515200).

30667606640 is an abundant number, since it is smaller than the sum of its proper divisors (51441423760).

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

30667606640 is a wasteful number, since it uses less digits than its factorization.

30667606640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5215 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 44.

The spelling of 30667606640 in words is "thirty billion, six hundred sixty-seven million, six hundred six thousand, six hundred forty".