7446891360 has 192 divisors, whose sum is σ = 24141680640. Its totient is φ = 1928478720.

The previous prime is 7446891341. The next prime is 7446891373. The reversal of 7446891360 is 631986447.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3941296 + ... + 3943184.

It is an arithmetic number, because the mean of its divisors is an integer number (125737920).

Almost surely, 2^7446891360 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 7446891360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12070840320).

7446891360 is an abundant number, since it is smaller than the sum of its proper divisors (16694789280).

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

7446891360 is a wasteful number, since it uses less digits than its factorization.

7446891360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 7446891360 is about 86295.3727612321. The cubic root of 7446891360 is about 1952.8025763355.

The spelling of 7446891360 in words is "seven billion, four hundred forty-six million, eight hundred ninety-one thousand, three hundred sixty".