7974455040 has 216 divisors, whose sum is σ = 29043727440. Its totient is φ = 2014543872.

The previous prime is 7974455033. The next prime is 7974455053. The reversal of 7974455040 is 405544797.

7974455040 is a `hidden beast` number, since 7 + 97 + 4 + 4 + 550 + 4 + 0 = 666.

It is a super-3 number, since 3×7974455040³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200664 + ... + 237096.

Almost surely, 2^7974455040 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 7974455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14521863720).

7974455040 is an abundant number, since it is smaller than the sum of its proper divisors (21069272400).

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

7974455040 is a wasteful number, since it uses less digits than its factorization.

7974455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36479 (or 36462 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 7974455040 is about 89299.8042551046. The cubic root of 7974455040 is about 1997.8689835242.

The spelling of 7974455040 in words is "seven billion, nine hundred seventy-four million, four hundred fifty-five thousand, forty".