7001073541000 has 768 divisors, whose sum is σ = 21457798801920. Its totient is φ = 2076641280000.

The previous prime is 7001073540983. The next prime is 7001073541043. The reversal of 7001073541000 is 1453701007.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 7001073541000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4727260260 + ... + 4727261740.

It is an arithmetic number, because the mean of its divisors is an integer number (27939842190).

Almost surely, 2^{7001073541000} is an apocalyptic number.

7001073541000 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 7001073541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10728899400960).

7001073541000 is an abundant number, since it is smaller than the sum of its proper divisors (14456725260920).

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

7001073541000 is a wasteful number, since it uses less digits than its factorization.

7001073541000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The spelling of 7001073541000 in words is "seven trillion, one billion, seventy-three million, five hundred forty-one thousand".