30011003696640 has 1280 divisors, whose sum is σ = 105571368714240. Its totient is φ = 7250022236160.

The previous prime is 30011003696627. The next prime is 30011003696647. The reversal of 30011003696640 is 4669630011003.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30011003696647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77149109566 + ... + 77149109954.

It is an arithmetic number, because the mean of its divisors is an integer number (82477631808).

Almost surely, 2^{30011003696640} is an apocalyptic number.

30011003696640 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 30011003696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52785684357120).

30011003696640 is an abundant number, since it is smaller than the sum of its proper divisors (75560365017600).

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

30011003696640 is a wasteful number, since it uses less digits than its factorization.

30011003696640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The spelling of 30011003696640 in words is "thirty trillion, eleven billion, three million, six hundred ninety-six thousand, six hundred forty".