7486041600 has 240 divisors, whose sum is σ = 27478680240. Its totient is φ = 1996185600.

The previous prime is 7486041583. The next prime is 7486041601. The reversal of 7486041600 is 61406847.

7486041600 is a `hidden beast` number, since 7 + 4 + 8 + 6 + 0 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×7486041600³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7486041601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 334770 + ... + 356430.

It is an arithmetic number, because the mean of its divisors is an integer number (114494501).

Almost surely, 2^7486041600 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 7486041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13739340120).

7486041600 is an abundant number, since it is smaller than the sum of its proper divisors (19992638640).

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

7486041600 is a wasteful number, since it uses less digits than its factorization.

7486041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21698 (or 21671 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7486041600 is about 86521.9139871513. The cubic root of 7486041600 is about 1956.2187267165.

The spelling of 7486041600 in words is "seven billion, four hundred eighty-six million, forty-one thousand, six hundred".