30479136840 has 160 divisors (see below), whose sum is σ = 102536885880. Its totient is φ = 8120383488.

The previous prime is 30479136839. The next prime is 30479136889. The reversal of 30479136840 is 4863197403.

30479136840 is a `hidden beast` number, since 3 + 0 + 479 + 136 + 8 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30466306116 + 12830724 = 174546^2 + 3582^2 .

It is a super-2 number, since 2×30479136840² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4198654 + ... + 4205906.

Almost surely, 2^30479136840 is an apocalyptic number.

30479136840 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 30479136840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51268442940).

30479136840 is an abundant number, since it is smaller than the sum of its proper divisors (72057749040).

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

30479136840 is a wasteful number, since it uses less digits than its factorization.

30479136840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8573 (or 8560 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 30479136840 in words is "thirty billion, four hundred seventy-nine million, one hundred thirty-six thousand, eight hundred forty".