7998424029000 has 256 divisors, whose sum is σ = 27827996601600. Its totient is φ = 2125211040000.

The previous prime is 7998424028909. The next prime is 7998424029049. The reversal of 7998424029000 is 9204248997.

7998424029000 is a `hidden beast` number, since 79 + 9 + 84 + 2 + 402 + 90 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6944275 + ... + 8013725.

It is an arithmetic number, because the mean of its divisors is an integer number (108703111725).

Almost surely, 2^{7998424029000} 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 7998424029000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13913998300800).

7998424029000 is an abundant number, since it is smaller than the sum of its proper divisors (19829572572600).

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

7998424029000 is a wasteful number, since it uses less digits than its factorization.

7998424029000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069758 (or 1069738 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 7998424029000 in words is "seven trillion, nine hundred ninety-eight billion, four hundred twenty-four million, twenty-nine thousand".