7047680640000 has 3520 divisors, whose sum is σ = 33347237468160. Its totient is φ = 1274019840000.

The previous prime is 7047680639957. The next prime is 7047680640023. The reversal of 7047680640000 is 460867407.

It is a tau number, because it is divible by the number of its divisors (3520).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 36516479904 + ... + 36516480096.

It is an arithmetic number, because the mean of its divisors is an integer number (9473647008).

Almost surely, 2^{7047680640000} is an apocalyptic number.

7047680640000 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 7047680640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16673618734080).

7047680640000 is an abundant number, since it is smaller than the sum of its proper divisors (26299556828160).

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

7047680640000 is a wasteful number, since it uses less digits than its factorization.

7047680640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 7047680640000 in words is "seven trillion, forty-seven billion, six hundred eighty million, six hundred forty thousand".