7974003024 has 240 divisors, whose sum is σ = 24943959040. Its totient is φ = 2361415680.

The previous prime is 7974002999. The next prime is 7974003041. The reversal of 7974003024 is 4203004797.

It is a super-2 number, since 2×7974003024² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 7974003024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18163797 + ... + 18164235.

Almost surely, 2^7974003024 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 7974003024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12471979520).

7974003024 is an abundant number, since it is smaller than the sum of its proper divisors (16969956016).

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

7974003024 is a wasteful number, since it uses less digits than its factorization.

7974003024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 7974003024 is about 89297.2733290328. The cubic root of 7974003024 is about 1997.8312344113.

The spelling of 7974003024 in words is "seven billion, nine hundred seventy-four million, three thousand, twenty-four".