7873310168640 has 1344 divisors, whose sum is σ = 33957882604800. Its totient is φ = 1710108868608.

The previous prime is 7873310168621. The next prime is 7873310168663. The reversal of 7873310168640 is 468610133787.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×7873310168640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 673559916 + ... + 673571604.

It is an arithmetic number, because the mean of its divisors is an integer number (25266281700).

Almost surely, 2^{7873310168640} is an apocalyptic number.

7873310168640 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 7873310168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16978941302400).

7873310168640 is an abundant number, since it is smaller than the sum of its proper divisors (26084572436160).

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

7873310168640 is a wasteful number, since it uses less digits than its factorization.

7873310168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11809 (or 11786 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 7873310168640 in words is "seven trillion, eight hundred seventy-three billion, three hundred ten million, one hundred sixty-eight thousand, six hundred forty".