3006616597632 has 192 divisors, whose sum is σ = 8868646232160. Its totient is φ = 977174876160.

The previous prime is 3006616597583. The next prime is 3006616597693. The reversal of 3006616597632 is 2367956166003.

3006616597632 is a `hidden beast` number, since 3 + 0 + 0 + 6 + 6 + 16 + 597 + 6 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28231908 + ... + 28338204.

Almost surely, 2^{3006616597632} is an apocalyptic number.

3006616597632 is a gapful number since it is divisible by the number (32) 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 3006616597632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4434323116080).

3006616597632 is an abundant number, since it is smaller than the sum of its proper divisors (5862029634528).

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

3006616597632 is a wasteful number, since it uses less digits than its factorization.

3006616597632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106931 (or 106916 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 3006616597632 in words is "three trillion, six billion, six hundred sixteen million, five hundred ninety-seven thousand, six hundred thirty-two".