30338774000640 has 440 divisors, whose sum is σ = 124248026371392. Its totient is φ = 6934576250880.

The previous prime is 30338774000629. The next prime is 30338774000651. The reversal of 30338774000640 is 4600047783303.

It is an interprime number because it is at equal distance from previous prime (30338774000629) and next prime (30338774000651).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2322306 + ... + 8128385.

Almost surely, 2^{30338774000640} is an apocalyptic number.

30338774000640 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 30338774000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62124013185696).

30338774000640 is an abundant number, since it is smaller than the sum of its proper divisors (93909252370752).

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

30338774000640 is a wasteful number, since it uses less digits than its factorization.

30338774000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10450735 (or 10450708 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 30338774000640 in words is "thirty trillion, three hundred thirty-eight billion, seven hundred seventy-four million, six hundred forty", and thus it is an aban number.