7683309540000 has 480 divisors, whose sum is σ = 28025304531840. Its totient is φ = 2047258368000.

The previous prime is 7683309539981. The next prime is 7683309540043. The reversal of 7683309540000 is 459033867.

7683309540000 is a `hidden beast` number, since 76 + 8 + 3 + 30 + 9 + 540 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 781375084 + ... + 781384916.

It is an arithmetic number, because the mean of its divisors is an integer number (58386051108).

Almost surely, 2^{7683309540000} 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 7683309540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14012652265920).

7683309540000 is an abundant number, since it is smaller than the sum of its proper divisors (20341994991840).

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

7683309540000 is a wasteful number, since it uses less digits than its factorization.

7683309540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11319 (or 11290 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 7683309540000 in words is "seven trillion, six hundred eighty-three billion, three hundred nine million, five hundred forty thousand".