30704038560 has 576 divisors, whose sum is σ = 117337907232. Its totient is φ = 7261913088.

The previous prime is 30704038553. The next prime is 30704038583. The reversal of 30704038560 is 6583040703.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 7925984784 + 22778053776 = 89028^2 + 150924^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67185852 + ... + 67186308.

Almost surely, 2^30704038560 is an apocalyptic number.

30704038560 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 30704038560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58668953616).

30704038560 is an abundant number, since it is smaller than the sum of its proper divisors (86633868672).

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

30704038560 is a wasteful number, since it uses less digits than its factorization.

30704038560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 30704038560 in words is "thirty billion, seven hundred four million, thirty-eight thousand, five hundred sixty".