7038008973000 has 256 divisors, whose sum is σ = 24415591449600. Its totient is φ = 1875482380800.

The previous prime is 7038008972947. The next prime is 7038008973031. The reversal of 7038008973000 is 3798008307.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38600049 + ... + 38781951.

It is an arithmetic number, because the mean of its divisors is an integer number (95373404100).

Almost surely, 2^{7038008973000} 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 7038008973000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12207795724800).

7038008973000 is an abundant number, since it is smaller than the sum of its proper divisors (17377582476600).

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

7038008973000 is a wasteful number, since it uses less digits than its factorization.

7038008973000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183366 (or 183346 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 7038008973000 in words is "seven trillion, thirty-eight billion, eight million, nine hundred seventy-three thousand".