30660840672 has 384 divisors, whose sum is σ = 104378803200. Its totient is φ = 7646822400.

The previous prime is 30660840659. The next prime is 30660840673. The reversal of 30660840672 is 27604806603.

It is a super-3 number, since 3×30660840672³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30660840673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60237154 + ... + 60237662.

It is an arithmetic number, because the mean of its divisors is an integer number (271819800).

Almost surely, 2^30660840672 is an apocalyptic number.

30660840672 is a gapful number since it is divisible by the number (32) 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 30660840672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52189401600).

30660840672 is an abundant number, since it is smaller than the sum of its proper divisors (73717962528).

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

30660840672 is a wasteful number, since it uses less digits than its factorization.

30660840672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 30660840672 in words is "thirty billion, six hundred sixty million, eight hundred forty thousand, six hundred seventy-two".