7364416320 has 448 divisors, whose sum is σ = 27892857600. Its totient is φ = 1845338112.

The previous prime is 7364416307. The next prime is 7364416343. The reversal of 7364416320 is 236144637.

It is a happy number.

7364416320 is a `hidden beast` number, since 7 + 3 + 644 + 1 + 6 + 3 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11896971 + ... + 11897589.

Almost surely, 2^7364416320 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 7364416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13946428800).

7364416320 is an abundant number, since it is smaller than the sum of its proper divisors (20528441280).

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

7364416320 is an equidigital number, since it uses as much as digits as its factorization.

7364416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 7364416320 is about 85816.1774958545. The cubic root of 7364416320 is about 1945.5666383667.

The spelling of 7364416320 in words is "seven billion, three hundred sixty-four million, four hundred sixteen thousand, three hundred twenty".