7673895320000 has 1120 divisors, whose sum is σ = 24448563955200. Its totient is φ = 2323593216000.

The previous prime is 7673895319999. The next prime is 7673895320093. The reversal of 7673895320000 is 235983767.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14672839739 + ... + 14672840261.

It is an arithmetic number, because the mean of its divisors is an integer number (21829074960).

Almost surely, 2^{7673895320000} is an apocalyptic number.

7673895320000 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 7673895320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12224281977600).

7673895320000 is an abundant number, since it is smaller than the sum of its proper divisors (16774668635200).

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

7673895320000 is a wasteful number, since it uses less digits than its factorization.

7673895320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 50.

The spelling of 7673895320000 in words is "seven trillion, six hundred seventy-three billion, eight hundred ninety-five million, three hundred twenty thousand".