7168860961920 has 1792 divisors, whose sum is σ = 32262086246400. Its totient is φ = 1484565553152.

The previous prime is 7168860961877. The next prime is 7168860961921. The reversal of 7168860961920 is 291690688617.

7168860961920 is a `hidden beast` number, since 7 + 1 + 6 + 8 + 8 + 6 + 0 + 9 + 619 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7168860961921) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1427204529 + ... + 1427209551.

Almost surely, 2^{7168860961920} is an apocalyptic number.

7168860961920 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 7168860961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16131043123200).

7168860961920 is an abundant number, since it is smaller than the sum of its proper divisors (25093225284480).

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

7168860961920 is a wasteful number, since it uses less digits than its factorization.

7168860961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5109 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 7168860961920 in words is "seven trillion, one hundred sixty-eight billion, eight hundred sixty million, nine hundred sixty-one thousand, nine hundred twenty".