30683676240 has 240 divisors, whose sum is σ = 122887634688. Its totient is φ = 6708455424.

The previous prime is 30683676181. The next prime is 30683676271. The reversal of 30683676240 is 4267638603.

30683676240 is a `hidden beast` number, since 306 + 8 + 36 + 76 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×30683676240² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16429 + ... + 248268.

Almost surely, 2^30683676240 is an apocalyptic number.

30683676240 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 30683676240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61443817344).

30683676240 is an abundant number, since it is smaller than the sum of its proper divisors (92203958448).

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

30683676240 is a wasteful number, since it uses less digits than its factorization.

30683676240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264746 (or 264737 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 30683676240 in words is "thirty billion, six hundred eighty-three million, six hundred seventy-six thousand, two hundred forty".