7055361680640 has 1152 divisors, whose sum is σ = 29067775672320. Its totient is φ = 1417538174976.

The previous prime is 7055361680639. The next prime is 7055361680641. The reversal of 7055361680640 is 460861635507.

It is an interprime number because it is at equal distance from previous prime (7055361680639) and next prime (7055361680641).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7055361680641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1920869844 + ... + 1920873516.

It is an arithmetic number, because the mean of its divisors is an integer number (25232444160).

Almost surely, 2^{7055361680640} is an apocalyptic number.

7055361680640 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 7055361680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14533887836160).

7055361680640 is an abundant number, since it is smaller than the sum of its proper divisors (22012413991680).

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

7055361680640 is a wasteful number, since it uses less digits than its factorization.

7055361680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3979 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 7055361680640 in words is "seven trillion, fifty-five billion, three hundred sixty-one million, six hundred eighty thousand, six hundred forty".