6003974097000 has 640 divisors, whose sum is σ = 22915177084800. Its totient is φ = 1454236416000.

The previous prime is 6003974096951. The next prime is 6003974097001. The reversal of 6003974097000 is 7904793006.

6003974097000 is a `hidden beast` number, since 600 + 39 + 7 + 4 + 0 + 9 + 7 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (6003974097001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1383720831 + ... + 1383725169.

It is an arithmetic number, because the mean of its divisors is an integer number (35804964195).

Almost surely, 2^{6003974097000} is an apocalyptic number.

6003974097000 is a gapful number since it is divisible by the number (60) 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 6003974097000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11457588542400).

6003974097000 is an abundant number, since it is smaller than the sum of its proper divisors (16911202987800).

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

6003974097000 is a wasteful number, since it uses less digits than its factorization.

6003974097000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5936 (or 5913 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 6003974097000 in words is "six trillion, three billion, nine hundred seventy-four million, ninety-seven thousand".