7016349936960 has 2240 divisors, whose sum is σ = 33198030835200. Its totient is φ = 1392901816320.

The previous prime is 7016349936941. The next prime is 7016349936961. The reversal of 7016349936960 is 696399436107.

7016349936960 is a `hidden beast` number, since 70 + 1 + 63 + 4 + 99 + 369 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7016349936961) 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, 1964811975 + ... + 1964815545.

It is an arithmetic number, because the mean of its divisors is an integer number (14820549480).

Almost surely, 2^{7016349936960} is an apocalyptic number.

7016349936960 is a gapful number since it is divisible by the number (70) 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 7016349936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16599015417600).

7016349936960 is an abundant number, since it is smaller than the sum of its proper divisors (26181680898240).

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

7016349936960 is a wasteful number, since it uses less digits than its factorization.

7016349936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 63.

The spelling of 7016349936960 in words is "seven trillion, sixteen billion, three hundred forty-nine million, nine hundred thirty-six thousand, nine hundred sixty".