7366446720 has 256 divisors, whose sum is σ = 26335584000. Its totient is φ = 1945866240.

The previous prime is 7366446673. The next prime is 7366446727. The reversal of 7366446720 is 276446637.

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

It is not an unprimeable number, because it can be changed into a prime (7366446727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1881565 + ... + 1885475.

It is an arithmetic number, because the mean of its divisors is an integer number (102873375).

Almost surely, 2^7366446720 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 7366446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13167792000).

7366446720 is an abundant number, since it is smaller than the sum of its proper divisors (18969137280).

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

7366446720 is a wasteful number, since it uses less digits than its factorization.

7366446720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The square root of 7366446720 is about 85828.0066178867. The cubic root of 7366446720 is about 1945.7454221902.

The spelling of 7366446720 in words is "seven billion, three hundred sixty-six million, four hundred forty-six thousand, seven hundred twenty".