7006560661590 has 384 divisors, whose sum is σ = 21088690951680. Its totient is φ = 1480898764800.

The previous prime is 7006560661577. The next prime is 7006560661627. The reversal of 7006560661590 is 951660656007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 223172934 + ... + 223204326.

It is an arithmetic number, because the mean of its divisors is an integer number (54918466020).

Almost surely, 2^{7006560661590} is an apocalyptic number.

7006560661590 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7006560661590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10544345475840).

7006560661590 is an abundant number, since it is smaller than the sum of its proper divisors (14082130290090).

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

7006560661590 is a wasteful number, since it uses less digits than its factorization.

7006560661590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31628 (or 31621 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The spelling of 7006560661590 in words is "seven trillion, six billion, five hundred sixty million, six hundred sixty-one thousand, five hundred ninety".