30285620064 has 480 divisors, whose sum is σ = 105534031680. Its totient is φ = 8339853312.

The previous prime is 30285620051. The next prime is 30285620107. The reversal of 30285620064 is 46002658203.

30285620064 is a `hidden beast` number, since 3 + 0 + 28 + 5 + 620 + 0 + 6 + 4 = 666.

It is a super-3 number, since 3×30285620064³ (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 132251502 + ... + 132251730.

It is an arithmetic number, because the mean of its divisors is an integer number (219862566).

Almost surely, 2^30285620064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30285620064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52767015840).

30285620064 is an abundant number, since it is smaller than the sum of its proper divisors (75248411616).

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

30285620064 is a wasteful number, since it uses less digits than its factorization.

30285620064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 30285620064 in words is "thirty billion, two hundred eighty-five million, six hundred twenty thousand, sixty-four".