30677641416 has 288 divisors, whose sum is σ = 90656467200. Its totient is φ = 9358917120.

The previous prime is 30677641369. The next prime is 30677641453. The reversal of 30677641416 is 61414677603.

It is a super-2 number, since 2×30677641416² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 110749470 + ... + 110749746.

It is an arithmetic number, because the mean of its divisors is an integer number (314779400).

Almost surely, 2^30677641416 is an apocalyptic number.

30677641416 is a gapful number since it is divisible by the number (36) 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 30677641416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45328233600).

30677641416 is an abundant number, since it is smaller than the sum of its proper divisors (59978825784).

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

30677641416 is a wasteful number, since it uses less digits than its factorization.

30677641416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 30677641416 in words is "thirty billion, six hundred seventy-seven million, six hundred forty-one thousand, four hundred sixteen".