7466375040 has 256 divisors, whose sum is σ = 24602987520. Its totient is φ = 1924521984.

The previous prime is 7466375039. The next prime is 7466375087. The reversal of 7466375040 is 405736647.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7466374983 and 7466375001.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16125849 + ... + 16126311.

It is an arithmetic number, because the mean of its divisors is an integer number (96105420).

Almost surely, 2^7466375040 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 7466375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12301493760).

7466375040 is an abundant number, since it is smaller than the sum of its proper divisors (17136612480).

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

7466375040 is a wasteful number, since it uses less digits than its factorization.

7466375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The square root of 7466375040 is about 86408.1885008591. The cubic root of 7466375040 is about 1954.5041653923.

The spelling of 7466375040 in words is "seven billion, four hundred sixty-six million, three hundred seventy-five thousand, forty".