7340802827904 has 1536 divisors, whose sum is σ = 27202170777600. Its totient is φ = 1849351274496.

The previous prime is 7340802827899. The next prime is 7340802827921. The reversal of 7340802827904 is 4097282080437.

It is a happy number.

7340802827904 is a `hidden beast` number, since 7 + 340 + 8 + 0 + 28 + 279 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52811531067 + ... + 52811531205.

It is an arithmetic number, because the mean of its divisors is an integer number (17709746600).

Almost surely, 2^{7340802827904} 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 7340802827904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13601085388800).

7340802827904 is an abundant number, since it is smaller than the sum of its proper divisors (19861367949696).

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

7340802827904 is a wasteful number, since it uses less digits than its factorization.

7340802827904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 7340802827904 in words is "seven trillion, three hundred forty billion, eight hundred two million, eight hundred twenty-seven thousand, nine hundred four".