30743687040 has 256 divisors, whose sum is σ = 110355056640. Its totient is φ = 7212441600.

The previous prime is 30743687027. The next prime is 30743687083. The reversal of 30743687040 is 4078634703.

It is a junction number, because it is equal to n+sod(n) for n = 30743686983 and 30743687001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631242 + ... + 678198.

It is an arithmetic number, because the mean of its divisors is an integer number (431074440).

Almost surely, 2^30743687040 is an apocalyptic number.

30743687040 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 30743687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55177528320).

30743687040 is an abundant number, since it is smaller than the sum of its proper divisors (79611369600).

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

30743687040 is a wasteful number, since it uses less digits than its factorization.

30743687040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47021 (or 47009 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 30743687040 in words is "thirty billion, seven hundred forty-three million, six hundred eighty-seven thousand, forty".