7187665845360 has 1280 divisors, whose sum is σ = 30945091387392. Its totient is φ = 1331450265600.

The previous prime is 7187665845313. The next prime is 7187665845361. The reversal of 7187665845360 is 635485667817.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 7187665845291 and 7187665845300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7187665845361) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6576088974 + ... + 6576090066.

Almost surely, 2^{7187665845360} is an apocalyptic number.

7187665845360 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 7187665845360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15472545693696).

7187665845360 is an abundant number, since it is smaller than the sum of its proper divisors (23757425542032).

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

7187665845360 is a wasteful number, since it uses less digits than its factorization.

7187665845360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 66.

The spelling of 7187665845360 in words is "seven trillion, one hundred eighty-seven billion, six hundred sixty-five million, eight hundred forty-five thousand, three hundred sixty".