7217032991616 has 2560 divisors, whose sum is σ = 28649237760000. Its totient is φ = 1790873763840.

The previous prime is 7217032991611. The next prime is 7217032991617. The reversal of 7217032991616 is 6161992307127.

7217032991616 is a `hidden beast` number, since 7 + 2 + 17 + 0 + 3 + 2 + 9 + 9 + 1 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7217032991611) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 70068281421 + ... + 70068281523.

It is an arithmetic number, because the mean of its divisors is an integer number (11191108500).

Almost surely, 2^{7217032991616} is an apocalyptic number.

7217032991616 is a gapful number since it is divisible by the number (76) 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 7217032991616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14324618880000).

7217032991616 is an abundant number, since it is smaller than the sum of its proper divisors (21432204768384).

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

7217032991616 is a wasteful number, since it uses less digits than its factorization.

7217032991616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 7217032991616 in words is "seven trillion, two hundred seventeen billion, thirty-two million, nine hundred ninety-one thousand, six hundred sixteen".