30479573671680 has 144 divisors (see below), whose sum is σ = 111250443999744. Its totient is φ = 6966759690240.

The previous prime is 30479573671637. The next prime is 30479573671721. The reversal of 30479573671680 is 8617637597403.

It is a super-3 number, since 3×30479573671680³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566929476 + ... + 566983235.

It is an arithmetic number, because the mean of its divisors is an integer number (772572527776).

Almost surely, 2^{30479573671680} is an apocalyptic number.

30479573671680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30479573671680 is an abundant number, since it is smaller than the sum of its proper divisors (80770870328064).

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

30479573671680 is a wasteful number, since it uses less digits than its factorization.

30479573671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133912742 (or 1133912728 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 66.

The spelling of 30479573671680 in words is "thirty trillion, four hundred seventy-nine billion, five hundred seventy-three million, six hundred seventy-one thousand, six hundred eighty".