7134937680000 has 1280 divisors, whose sum is σ = 26723605708800. Its totient is φ = 1674086400000.

The previous prime is 7134937679971. The next prime is 7134937680011. The reversal of 7134937680000 is 867394317.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 6867119481 + ... + 6867120519.

It is an arithmetic number, because the mean of its divisors is an integer number (20877816960).

Almost surely, 2^{7134937680000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7134937680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13361802854400).

7134937680000 is an abundant number, since it is smaller than the sum of its proper divisors (19588668028800).

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

7134937680000 is a wasteful number, since it uses less digits than its factorization.

7134937680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 7134937680000 in words is "seven trillion, one hundred thirty-four billion, nine hundred thirty-seven million, six hundred eighty thousand".