7001609621760 has 1728 divisors, whose sum is σ = 28342045525248. Its totient is φ = 1643390042112.

The previous prime is 7001609621729. The next prime is 7001609621767. The reversal of 7001609621760 is 671269061007.

It is a happy number.

7001609621760 is a `hidden beast` number, since 7 + 0 + 0 + 16 + 0 + 9 + 621 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (7001609621767) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7929342279 + ... + 7929343161.

It is an arithmetic number, because the mean of its divisors is an integer number (16401646716).

Almost surely, 2^{7001609621760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7001609621760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14171022762624).

7001609621760 is an abundant number, since it is smaller than the sum of its proper divisors (21340435903488).

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

7001609621760 is a wasteful number, since it uses less digits than its factorization.

7001609621760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 7001609621760 in words is "seven trillion, one billion, six hundred nine million, six hundred twenty-one thousand, seven hundred sixty".